TSTP Solution File: NUM924+8 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM924+8 : TPTP v8.2.0. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : do_cvc5 %s %d
% Computer : n009.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 17:35:26 EDT 2024
% Result : Theorem 22.01s 22.24s
% Output : Proof 22.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 2.11/2.12 % Problem : NUM924+8 : TPTP v8.2.0. Released v5.3.0.
% 2.11/2.12 % Command : do_cvc5 %s %d
% 2.16/2.33 % Computer : n009.cluster.edu
% 2.16/2.33 % Model : x86_64 x86_64
% 2.16/2.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 2.16/2.33 % Memory : 8042.1875MB
% 2.16/2.33 % OS : Linux 3.10.0-693.el7.x86_64
% 2.16/2.33 % CPULimit : 300
% 2.16/2.33 % WCLimit : 300
% 2.16/2.33 % DateTime : Tue May 28 02:59:41 EDT 2024
% 2.16/2.33 % CPUTime :
% 7.24/7.45 %----Proving TF0_NAR, FOF, or CNF
% 22.01/22.24 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.01/22.24 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.01/22.24 % SZS status Theorem for /export/starexec/sandbox2/tmp/tmp.jKixcfQryK/cvc5---1.0.5_19714.smt2
% 22.01/22.24 % SZS output start Proof for /export/starexec/sandbox2/tmp/tmp.jKixcfQryK/cvc5---1.0.5_19714.smt2
% 22.01/22.24 (assume a0 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.ti (tptp.fun X_a tptp.int) (tptp.archimedean_ceiling X_a)) (tptp.archimedean_ceiling X_a)))))
% 22.01/22.24 (assume a1 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.ti (tptp.fun X_a tptp.int) (tptp.archim2085082626_floor X_a)) (tptp.archim2085082626_floor X_a)))))
% 22.01/22.24 (assume a2 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.big_co1399186613setsum X_a X_b)) (tptp.big_co1399186613setsum X_a X_b)))))
% 22.01/22.24 (assume a3 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.big_co302546470etprod X_a X_b)) (tptp.big_co302546470etprod X_a X_b)))))
% 22.01/22.24 (assume a4 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool)) (tptp.bijR X_a X_b)) (tptp.bijR X_a X_b))))
% 22.01/22.24 (assume a5 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c))) (tptp.combb X_b X_c X_a)) (tptp.combb X_b X_c X_a))))
% 22.01/22.24 (assume a6 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_b (tptp.fun X_a X_c))) (tptp.combc X_a X_b X_c)) (tptp.combc X_a X_b X_c))))
% 22.01/22.24 (assume a7 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a X_a) (tptp.combi X_a)) (tptp.combi X_a))))
% 22.01/22.24 (assume a8 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combk X_a X_b)) (tptp.combk X_a X_b))))
% 22.01/22.24 (assume a9 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c))) (tptp.combs X_a X_b X_c)) (tptp.combs X_a X_b X_c))))
% 22.01/22.24 (assume a10 (= (tptp.ti (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) tptp.code_S1047413653umeral) tptp.code_S1047413653umeral))
% 22.01/22.24 (assume a11 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun (tptp.fun tptp.code_code_numeral X_a) (tptp.fun tptp.code_code_numeral X_a))) (tptp.code_c600343653l_case X_a)) (tptp.code_c600343653l_case X_a))))
% 22.01/22.24 (assume a12 (= (tptp.ti (tptp.fun tptp.code_code_numeral tptp.nat) tptp.code_c271388182l_size) tptp.code_c271388182l_size))
% 22.01/22.24 (assume a13 (= (tptp.ti (tptp.fun tptp.code_code_numeral (tptp.fun tptp.code_code_numeral (tptp.product_prod tptp.code_code_numeral tptp.code_code_numeral))) tptp.code_d418564891umeral) tptp.code_d418564891umeral))
% 22.01/22.24 (assume a14 (= (tptp.ti (tptp.fun tptp.code_code_numeral tptp.int) tptp.code_int_of) tptp.code_int_of))
% 22.01/22.24 (assume a15 (= (tptp.ti (tptp.fun tptp.code_code_numeral (tptp.fun tptp.nat tptp.nat)) tptp.code_nat_of_aux) tptp.code_nat_of_aux))
% 22.01/22.24 (assume a16 (= (tptp.ti (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.complete_Sup_Sup tptp.real)) (tptp.complete_Sup_Sup tptp.real)))
% 22.01/22.24 (assume a17 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) X_a) (tptp.complete_Sup_Sup X_a)) (tptp.complete_Sup_Sup X_a)))))
% 22.01/22.24 (assume a18 (= (tptp.ti (tptp.fun tptp.complex tptp.real) tptp.im) tptp.im))
% 22.01/22.24 (assume a19 (= (tptp.ti (tptp.fun tptp.complex tptp.real) tptp.re) tptp.re))
% 22.01/22.24 (assume a20 (= (tptp.ti (tptp.fun tptp.complex tptp.real) tptp.arg) tptp.arg))
% 22.01/22.24 (assume a21 (= (tptp.ti (tptp.fun tptp.real tptp.complex) tptp.cis) tptp.cis))
% 22.01/22.24 (assume a22 (= (tptp.ti (tptp.fun tptp.complex tptp.complex) tptp.cnj) tptp.cnj))
% 22.01/22.24 (assume a23 (= (tptp.ti (tptp.fun tptp.real (tptp.fun tptp.real tptp.complex)) tptp.complex_1) tptp.complex_1))
% 22.01/22.24 (assume a24 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real X_a)) (tptp.fun tptp.complex X_a)) (tptp.complex_case X_a)) (tptp.complex_case X_a))))
% 22.01/22.24 (assume a25 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real X_a)) (tptp.fun tptp.complex X_a)) (tptp.complex_rec X_a)) (tptp.complex_rec X_a))))
% 22.01/22.24 (assume a26 (= (tptp.ti (tptp.fun tptp.complex tptp.nat) tptp.complex_size) tptp.complex_size))
% 22.01/22.24 (assume a27 (= (tptp.ti (tptp.fun tptp.complex tptp.complex) tptp.expi) tptp.expi))
% 22.01/22.24 (assume a28 (= (tptp.ti tptp.complex tptp.ii) tptp.ii))
% 22.01/22.24 (assume a29 (= (tptp.ti (tptp.fun tptp.real (tptp.fun tptp.real tptp.complex)) tptp.rcis) tptp.rcis))
% 22.01/22.24 (assume a30 (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))))) tptp.bolzano_bisect) tptp.bolzano_bisect))
% 22.01/22.24 (assume a31 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool))) (tptp.deriv X_a)) (tptp.deriv X_a)))))
% 22.01/22.24 (assume a32 (= (tptp.ti (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.adjust) tptp.adjust))
% 22.01/22.24 (assume a33 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.div_div X_a)) (tptp.div_div X_a)))))
% 22.01/22.24 (assume a34 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.div_mod X_a)) (tptp.div_mod X_a)))))
% 22.01/22.24 (assume a35 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.divmod_int) tptp.divmod_int))
% 22.01/22.24 (assume a36 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) tptp.divmod_int_rel) tptp.divmod_int_rel))
% 22.01/22.24 (assume a37 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat))) tptp.divmod_nat) tptp.divmod_nat))
% 22.01/22.24 (assume a38 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool))) tptp.divmod_nat_rel) tptp.divmod_nat_rel))
% 22.01/22.24 (assume a39 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.negDivAlg) tptp.negDivAlg))
% 22.01/22.24 (assume a40 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.negDivAlg_rel) tptp.negDivAlg_rel))
% 22.01/22.24 (assume a41 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.negateSnd) tptp.negateSnd))
% 22.01/22.24 (assume a42 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.pdivmod) tptp.pdivmod))
% 22.01/22.24 (assume a43 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.posDivAlg) tptp.posDivAlg))
% 22.01/22.24 (assume a44 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.posDivAlg_rel) tptp.posDivAlg_rel))
% 22.01/22.24 (assume a45 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.bnorRset) tptp.bnorRset))
% 22.01/22.24 (assume a46 (= (tptp.ti (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) tptp.rRset2norRR) tptp.rRset2norRR))
% 22.01/22.24 (assume a47 (= (tptp.ti (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.rsetR) tptp.rsetR))
% 22.01/22.24 (assume a48 (= (tptp.ti (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.is_RRset) tptp.is_RRset))
% 22.01/22.24 (assume a49 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.noXRRset) tptp.noXRRset))
% 22.01/22.24 (assume a50 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.norRRset) tptp.norRRset))
% 22.01/22.24 (assume a51 (= (tptp.ti (tptp.fun tptp.int tptp.nat) tptp.phi) tptp.phi))
% 22.01/22.24 (assume a52 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.zcongm) tptp.zcongm))
% 22.01/22.24 (assume a53 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) tptp.multInvPair) tptp.multInvPair))
% 22.01/22.24 (assume a54 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool))) tptp.setS) tptp.setS))
% 22.01/22.24 (assume a55 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.zEven) tptp.zEven))
% 22.01/22.24 (assume a56 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.zOdd) tptp.zOdd))
% 22.01/22.24 (assume a57 (= (tptp.ti (tptp.fun tptp.int tptp.int) (tptp.fact_fact tptp.int)) (tptp.fact_fact tptp.int)))
% 22.01/22.24 (assume a58 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.fact_fact tptp.nat)))
% 22.01/22.24 (assume a59 (forall ((X_a $$unsorted)) (=> (and (tptp.inverse X_a) (tptp.real_normed_vector X_a)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.inverse_divide X_a)) (tptp.inverse_divide X_a)))))
% 22.01/22.24 (assume a60 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.inverse_divide X_a)) (tptp.inverse_divide X_a)))))
% 22.01/22.24 (assume a61 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.inverse_inverse X_a)) (tptp.inverse_inverse X_a)))))
% 22.01/22.24 (assume a62 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.finite_card X_a)) (tptp.finite_card X_a))))
% 22.01/22.24 (assume a63 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.finite_finite_1 X_a)) (tptp.finite_finite_1 X_a))))
% 22.01/22.24 (assume a64 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.in_rel X_a X_b)) (tptp.in_rel X_a X_b))))
% 22.01/22.24 (assume a65 (= (tptp.ti (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.pair_leq) tptp.pair_leq))
% 22.01/22.24 (assume a66 (= (tptp.ti (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.pair_less) tptp.pair_less))
% 22.01/22.24 (assume a67 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int))) tptp.bezw) tptp.bezw))
% 22.01/22.24 (assume a68 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.gcd_gcd tptp.int)) (tptp.gcd_gcd tptp.int)))
% 22.01/22.24 (assume a69 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.gcd_gcd tptp.nat)) (tptp.gcd_gcd tptp.nat)))
% 22.01/22.24 (assume a70 (forall ((X_a $$unsorted)) (=> (tptp.abs_if X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.abs_abs X_a)) (tptp.abs_abs X_a)))))
% 22.01/22.24 (assume a71 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.abs_abs X_a)) (tptp.abs_abs X_a)))))
% 22.01/22.24 (assume a72 (forall ((X_b $$unsorted)) (=> (tptp.minus X_b) (= (tptp.ti (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.minus_minus X_b)) (tptp.minus_minus X_b)))))
% 22.01/22.24 (assume a73 (forall ((X_a $$unsorted)) (=> (tptp.one X_a) (= (tptp.ti X_a (tptp.one_one X_a)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a74 (forall ((X_a $$unsorted)) (=> (and (tptp.plus X_a) (tptp.linorder X_a) (tptp.dvd X_a)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 22.01/22.24 (assume a75 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 22.01/22.24 (assume a76 (forall ((X_a $$unsorted)) (=> (tptp.ab_semigroup_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 22.01/22.24 (assume a77 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.plus_plus X_a)) (tptp.plus_plus X_a)))))
% 22.01/22.24 (assume a78 (forall ((X_a $$unsorted)) (=> (tptp.sgn_div_norm X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.sgn_sgn X_a)) (tptp.sgn_sgn X_a)))))
% 22.01/22.24 (assume a79 (forall ((X_a $$unsorted)) (=> (tptp.sgn_if X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.sgn_sgn X_a)) (tptp.sgn_sgn X_a)))))
% 22.01/22.24 (assume a80 (forall ((X_a $$unsorted)) (=> (tptp.ab_semigroup_mult X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a81 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a82 (forall ((X_a $$unsorted)) (=> (tptp.dvd X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a83 (forall ((X_a $$unsorted)) (=> (tptp.semiring X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a84 (forall ((X_a $$unsorted)) (=> (tptp.mult_zero X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a85 (forall ((X_a $$unsorted)) (=> (tptp.no_zero_divisors X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.times_times X_a)) (tptp.times_times X_a)))))
% 22.01/22.24 (assume a86 (forall ((X_a $$unsorted)) (=> (tptp.uminus X_a) (= (tptp.ti (tptp.fun X_a X_a) (tptp.uminus_uminus X_a)) (tptp.uminus_uminus X_a)))))
% 22.01/22.24 (assume a87 (forall ((X_a $$unsorted)) (=> (tptp.zero X_a) (= (tptp.ti X_a (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a88 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) X_a) (tptp.the X_a)) (tptp.the X_a)))))
% 22.01/22.24 (assume a89 (= (tptp.ti (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.the tptp.int)) (tptp.the tptp.int)))
% 22.01/22.24 (assume a90 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b)) (tptp.the (tptp.product_prod X_a X_b))) (tptp.the (tptp.product_prod X_a X_b)))))
% 22.01/22.24 (assume a91 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) X_a) (tptp.the X_a)) (tptp.the X_a)))))
% 22.01/22.24 (assume a92 (forall ((X_a $$unsorted)) (= (tptp.ti X_a (tptp.undefined X_a)) (tptp.undefined X_a))))
% 22.01/22.24 (assume a93 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) X_a) (tptp.hilbert_Eps X_a)) (tptp.hilbert_Eps X_a))))
% 22.01/22.24 (assume a94 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun tptp.bool (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.if X_a)) (tptp.if X_a))))
% 22.01/22.24 (assume a95 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.multInv) tptp.multInv))
% 22.01/22.24 (assume a96 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.d22set) tptp.d22set))
% 22.01/22.24 (assume a97 (= (tptp.ti (tptp.fun tptp.int tptp.int) tptp.zfact) tptp.zfact))
% 22.01/22.24 (assume a98 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) tptp.xzgcd) tptp.xzgcd))
% 22.01/22.24 (assume a99 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))))) tptp.xzgcda) tptp.xzgcda))
% 22.01/22.24 (assume a100 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.zcong) tptp.zcong))
% 22.01/22.24 (assume a101 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.zprime) tptp.zprime))
% 22.01/22.24 (assume a102 (= (tptp.ti (tptp.fun tptp.int tptp.int) tptp.bit0) tptp.bit0))
% 22.01/22.24 (assume a103 (= (tptp.ti (tptp.fun tptp.int tptp.int) tptp.bit1) tptp.bit1))
% 22.01/22.24 (assume a104 (= (tptp.ti tptp.int tptp.min_1) tptp.min_1))
% 22.01/22.24 (assume a105 (= (tptp.ti tptp.int tptp.pls) tptp.pls))
% 22.01/22.24 (assume a106 (= (tptp.ti (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.int_ge_less_than) tptp.int_ge_less_than))
% 22.01/22.24 (assume a107 (= (tptp.ti (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.int_ge_less_than2) tptp.int_ge_less_than2))
% 22.01/22.24 (assume a108 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.ti (tptp.fun X_a tptp.bool) (tptp.iszero X_a)) (tptp.iszero X_a)))))
% 22.01/22.24 (assume a109 (= (tptp.ti (tptp.fun tptp.int tptp.nat) tptp.nat_1) tptp.nat_1))
% 22.01/22.24 (assume a110 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.nat tptp.nat)) tptp.nat_aux) tptp.nat_aux))
% 22.01/22.24 (assume a111 (forall ((X_a $$unsorted)) (=> (tptp.number X_a) (= (tptp.ti (tptp.fun tptp.int X_a) (tptp.number_number_of X_a)) (tptp.number_number_of X_a)))))
% 22.01/22.24 (assume a112 (= (tptp.ti (tptp.fun tptp.int tptp.int) tptp.pred) tptp.pred))
% 22.01/22.24 (assume a113 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.ti (tptp.fun X_a tptp.bool) (tptp.ring_1_Ints X_a)) (tptp.ring_1_Ints X_a)))))
% 22.01/22.24 (assume a114 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.ti (tptp.fun tptp.int X_a) (tptp.ring_1_of_int X_a)) (tptp.ring_1_of_int X_a)))))
% 22.01/22.24 (assume a115 (= (tptp.ti (tptp.fun tptp.int tptp.int) tptp.succ) tptp.succ))
% 22.01/22.24 (assume a116 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.lazy_small_lazy_rel) tptp.lazy_small_lazy_rel))
% 22.01/22.24 (assume a117 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.legacy_zgcd) tptp.legacy_zgcd))
% 22.01/22.24 (assume a118 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool)) (tptp.isCont X_a X_b)) (tptp.isCont X_a X_b)))))
% 22.01/22.24 (assume a119 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (= (tptp.ti (tptp.fun X_a (tptp.filter X_a)) (tptp.at X_a)) (tptp.at X_a)))))
% 22.01/22.24 (assume a120 (= (tptp.ti (tptp.filter tptp.nat) tptp.sequentially) tptp.sequentially))
% 22.01/22.24 (assume a121 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.topological_space X_b) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool))) (tptp.tendsto X_a X_b)) (tptp.tendsto X_a X_b)))))
% 22.01/22.24 (assume a122 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.trivial_limit X_a)) (tptp.trivial_limit X_a))))
% 22.01/22.24 (assume a123 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.upto_rel) tptp.upto_rel))
% 22.01/22.24 (assume a124 (= (tptp.ti (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.log) tptp.log))
% 22.01/22.24 (assume a125 (= (tptp.ti (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.powr) tptp.powr))
% 22.01/22.24 (assume a126 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) tptp.suc) tptp.suc))
% 22.01/22.24 (assume a127 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.nat_case X_a)) (tptp.nat_case X_a))))
% 22.01/22.24 (assume a128 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a))) (tptp.nat_rec X_a)) (tptp.nat_rec X_a))))
% 22.01/22.24 (assume a129 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) tptp.nat_size) tptp.nat_size))
% 22.01/22.24 (assume a130 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.ti (tptp.fun tptp.nat X_a) (tptp.semiring_1_of_nat X_a)) (tptp.semiring_1_of_nat X_a)))))
% 22.01/22.24 (assume a131 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.semiri532925092at_aux X_a)) (tptp.semiri532925092at_aux X_a)))))
% 22.01/22.24 (assume a132 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.list X_a) tptp.nat) (tptp.size_size (tptp.list X_a))) (tptp.size_size (tptp.list X_a)))))
% 22.01/22.24 (assume a133 (= (tptp.ti (tptp.fun tptp.code_code_numeral tptp.nat) (tptp.size_size tptp.code_code_numeral)) (tptp.size_size tptp.code_code_numeral)))
% 22.01/22.24 (assume a134 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) (tptp.size_size tptp.nat)) (tptp.size_size tptp.nat)))
% 22.01/22.24 (assume a135 (= (tptp.ti (tptp.fun tptp.complex tptp.nat) (tptp.size_size tptp.complex)) (tptp.size_size tptp.complex)))
% 22.01/22.24 (assume a136 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.nat_neg) tptp.nat_neg))
% 22.01/22.24 (assume a137 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.nat_is_nat) tptp.nat_is_nat))
% 22.01/22.24 (assume a138 (= (tptp.ti (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat_nat_set) tptp.nat_nat_set))
% 22.01/22.24 (assume a139 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.nat_tr1645093318rphism X_a X_b)) (tptp.nat_tr1645093318rphism X_a X_b))))
% 22.01/22.24 (assume a140 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.nat_tsub) tptp.nat_tsub))
% 22.01/22.24 (assume a141 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) X_a) (tptp.abs_Frac X_a)) (tptp.abs_Frac X_a))))
% 22.01/22.24 (assume a142 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) tptp.frac_1) tptp.frac_1))
% 22.01/22.24 (assume a143 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int X_a)) (tptp.frac X_a)) (tptp.frac X_a))))
% 22.01/22.24 (assume a144 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.int_gcd) tptp.int_gcd))
% 22.01/22.24 (assume a145 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.int_lcm) tptp.int_lcm))
% 22.01/22.24 (assume a146 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) tptp.nat_gcd) tptp.nat_gcd))
% 22.01/22.24 (assume a147 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.nat_gcd_rel) tptp.nat_gcd_rel))
% 22.01/22.24 (assume a148 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) tptp.nat_lcm) tptp.nat_lcm))
% 22.01/22.24 (assume a149 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.norm_frac) tptp.norm_frac))
% 22.01/22.24 (assume a150 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.norm_frac_rel) tptp.norm_frac_rel))
% 22.01/22.24 (assume a151 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun tptp.int X_a) (tptp.number_of_frac X_a)) (tptp.number_of_frac X_a))))
% 22.01/22.24 (assume a152 (forall ((X_a $$unsorted)) (= (tptp.ti X_a (tptp.one_frac X_a)) (tptp.one_frac X_a))))
% 22.01/22.24 (assume a153 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool))) (tptp.prod X_a X_b)) (tptp.prod X_a X_b))))
% 22.01/22.24 (assume a154 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.refl X_a)) (tptp.refl X_a))))
% 22.01/22.24 (assume a155 (forall ((X_a $$unsorted)) (= (tptp.ti X_a (tptp.zero_frac X_a)) (tptp.zero_frac X_a))))
% 22.01/22.24 (assume a156 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) tptp.root) tptp.root))
% 22.01/22.24 (assume a157 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.sqrt) tptp.sqrt))
% 22.01/22.24 (assume a158 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.max X_a)) (tptp.max X_a)))))
% 22.01/22.24 (assume a159 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.min X_a)) (tptp.min X_a)))))
% 22.01/22.24 (assume a160 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_less X_a)) (tptp.ord_less X_a)))))
% 22.01/22.24 (assume a161 (forall ((X_b $$unsorted)) (=> (tptp.ord X_b) (= (tptp.ti (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.ord_less_eq X_b)) (tptp.ord_less_eq X_b)))))
% 22.01/22.24 (assume a162 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.ord_max X_a)) (tptp.ord_max X_a)))))
% 22.01/22.24 (assume a163 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.ord_min X_a)) (tptp.ord_min X_a)))))
% 22.01/22.24 (assume a164 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool)) (tptp.mono tptp.nat X_a)) (tptp.mono tptp.nat X_a)))))
% 22.01/22.24 (assume a165 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool)) (tptp.strict_mono tptp.nat X_a)) (tptp.strict_mono tptp.nat X_a)))))
% 22.01/22.24 (assume a166 (= (tptp.ti (tptp.fun tptp.nat tptp.bool) (tptp.even_odd_even tptp.nat)) (tptp.even_odd_even tptp.nat)))
% 22.01/22.24 (assume a167 (= (tptp.ti (tptp.fun tptp.int tptp.bool) (tptp.even_odd_even tptp.int)) (tptp.even_odd_even tptp.int)))
% 22.01/22.24 (assume a168 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)))) (tptp.power_1 X_a)) (tptp.power_1 X_a))))
% 22.01/22.24 (assume a169 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.power_power X_a)) (tptp.power_power X_a)))))
% 22.01/22.24 (assume a170 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.powp X_a)) (tptp.powp X_a))))
% 22.01/22.24 (assume a171 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) tptp.coprime) tptp.coprime))
% 22.01/22.24 (assume a172 (= (tptp.ti (tptp.fun tptp.nat tptp.nat) tptp.fact) tptp.fact))
% 22.01/22.24 (assume a173 (= (tptp.ti (tptp.fun tptp.nat tptp.bool) tptp.prime) tptp.prime))
% 22.01/22.24 (assume a174 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.product_Pair X_a X_b)) (tptp.product_Pair X_a X_b))))
% 22.01/22.24 (assume a175 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_c X_b) (tptp.fun (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b))) (tptp.product_apsnd X_c X_b X_a)) (tptp.product_apsnd X_c X_b X_a))))
% 22.01/22.24 (assume a176 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.product_fst X_a X_b)) (tptp.product_fst X_a X_b))))
% 22.01/22.24 (assume a177 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c)) (tptp.product_prod_case X_a X_b X_c)) (tptp.product_prod_case X_a X_b X_c))))
% 22.01/22.24 (assume a178 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a)) (tptp.product_prod_rec X_b X_c X_a)) (tptp.product_prod_rec X_b X_c X_a))))
% 22.01/22.24 (assume a179 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_b tptp.nat) (tptp.fun (tptp.product_prod X_a X_b) tptp.nat))) (tptp.product_prod_size X_a X_b)) (tptp.product_prod_size X_a X_b))))
% 22.01/22.24 (assume a180 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.product_snd X_a X_b)) (tptp.product_snd X_a X_b))))
% 22.01/22.24 (assume a181 (= (tptp.ti (tptp.fun tptp.int (tptp.list tptp.int)) tptp.quickc666637781d_zero) tptp.quickc666637781d_zero))
% 22.01/22.24 (assume a182 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.quickc1265749348ro_rel) tptp.quickc1265749348ro_rel))
% 22.01/22.24 (assume a183 (= (tptp.ti (tptp.fun tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int (tptp.product_prod tptp.quickcheck_code_int tptp.quickcheck_code_int))) tptp.quickc495462417de_int) tptp.quickc495462417de_int))
% 22.01/22.24 (assume a184 (= (tptp.ti (tptp.fun tptp.quickcheck_code_int tptp.int) tptp.quickcheck_int_of) tptp.quickcheck_int_of))
% 22.01/22.24 (assume a185 (= (tptp.ti (tptp.fun tptp.quickcheck_code_int tptp.nat) tptp.quickcheck_nat_of) tptp.quickcheck_nat_of))
% 22.01/22.24 (assume a186 (= (tptp.ti (tptp.fun tptp.int tptp.quickcheck_code_int) tptp.quickcheck_of_int) tptp.quickcheck_of_int))
% 22.01/22.24 (assume a187 (= (tptp.ti (tptp.fun tptp.real tptp.nat) tptp.natceiling) tptp.natceiling))
% 22.01/22.24 (assume a188 (= (tptp.ti (tptp.fun tptp.real tptp.nat) tptp.natfloor) tptp.natfloor))
% 22.01/22.24 (assume a189 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.rat)) tptp.fract) tptp.fract))
% 22.01/22.24 (assume a190 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.rat) tptp.frct) tptp.frct))
% 22.01/22.24 (assume a191 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (= (tptp.ti (tptp.fun X_a tptp.bool) (tptp.field_char_0_Rats X_a)) (tptp.field_char_0_Rats X_a)))))
% 22.01/22.24 (assume a192 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.normalize) tptp.normalize))
% 22.01/22.24 (assume a193 (= (tptp.ti (tptp.fun tptp.rat (tptp.product_prod tptp.int tptp.int)) tptp.quotient_of) tptp.quotient_of))
% 22.01/22.24 (assume a194 (= (tptp.ti (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) tptp.ratrel) tptp.ratrel))
% 22.01/22.24 (assume a195 (= (tptp.ti (tptp.fun tptp.rat tptp.real) tptp.ratreal) tptp.ratreal))
% 22.01/22.24 (assume a196 (= (tptp.ti (tptp.fun tptp.int tptp.real) (tptp.real_1 tptp.int)) (tptp.real_1 tptp.int)))
% 22.01/22.24 (assume a197 (= (tptp.ti (tptp.fun tptp.nat tptp.real) (tptp.real_1 tptp.nat)) (tptp.real_1 tptp.nat)))
% 22.01/22.24 (assume a198 (= (tptp.ti (tptp.fun (tptp.fun tptp.nat tptp.rat) tptp.bool) tptp.vanishes) tptp.vanishes))
% 22.01/22.24 (assume a199 (forall ((X_a $$unsorted)) (=> (tptp.dist_norm X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.real)) (tptp.dist_dist X_a)) (tptp.dist_dist X_a)))))
% 22.01/22.24 (assume a200 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.real)) (tptp.dist_dist X_a)) (tptp.dist_dist X_a)))))
% 22.01/22.24 (assume a201 (forall ((X_a $$unsorted)) (=> (tptp.sgn_div_norm X_a) (= (tptp.ti (tptp.fun X_a tptp.real) (tptp.norm_norm X_a)) (tptp.norm_norm X_a)))))
% 22.01/22.24 (assume a202 (forall ((X_a $$unsorted)) (=> (tptp.dist_norm X_a) (= (tptp.ti (tptp.fun X_a tptp.real) (tptp.norm_norm X_a)) (tptp.norm_norm X_a)))))
% 22.01/22.24 (assume a203 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (= (tptp.ti (tptp.fun tptp.real X_a) (tptp.of_real X_a)) (tptp.of_real X_a)))))
% 22.01/22.24 (assume a204 (forall ((X_a $$unsorted)) (=> (tptp.sgn_div_norm X_a) (= (tptp.ti (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.scaleR_scaleR X_a)) (tptp.scaleR_scaleR X_a)))))
% 22.01/22.24 (assume a205 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (= (tptp.ti (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.scaleR_scaleR X_a)) (tptp.scaleR_scaleR X_a)))))
% 22.01/22.24 (assume a206 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.legendre) tptp.legendre))
% 22.01/22.24 (assume a207 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.quadRes) tptp.quadRes))
% 22.01/22.24 (assume a208 (= (tptp.ti (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.resSet) tptp.resSet))
% 22.01/22.24 (assume a209 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.sr) tptp.sr))
% 22.01/22.24 (assume a210 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.sRStar) tptp.sRStar))
% 22.01/22.24 (assume a211 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.standardRes) tptp.standardRes))
% 22.01/22.24 (assume a212 (forall ((X_a $$unsorted)) (=> (tptp.dvd X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.dvd_dvd X_a)) (tptp.dvd_dvd X_a)))))
% 22.01/22.24 (assume a213 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.bseq X_a)) (tptp.bseq X_a)))))
% 22.01/22.24 (assume a214 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.cauchy X_a)) (tptp.cauchy X_a)))))
% 22.01/22.24 (assume a215 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) X_a) (tptp.lim X_a)) (tptp.lim X_a)))))
% 22.01/22.24 (assume a216 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.monoseq X_a)) (tptp.monoseq X_a)))))
% 22.01/22.24 (assume a217 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.z3div) tptp.z3div))
% 22.01/22.24 (assume a218 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.z3mod) tptp.z3mod))
% 22.01/22.24 (assume a219 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) X_a) (tptp.suminf X_a)) (tptp.suminf X_a)))))
% 22.01/22.24 (assume a220 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.summable X_a)) (tptp.summable X_a)))))
% 22.01/22.24 (assume a221 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool)) (tptp.sums X_a)) (tptp.sums X_a)))))
% 22.01/22.24 (assume a222 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a (tptp.fun X_a tptp.bool))) (tptp.ord_atLeastAtMost X_a)) (tptp.ord_atLeastAtMost X_a)))))
% 22.01/22.24 (assume a223 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a (tptp.fun X_a tptp.bool))) (tptp.ord_atLeastLessThan X_a)) (tptp.ord_atLeastLessThan X_a)))))
% 22.01/22.24 (assume a224 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atMost X_a)) (tptp.ord_atMost X_a)))))
% 22.01/22.24 (assume a225 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a (tptp.fun X_a tptp.bool))) (tptp.ord_gr676655987ssThan X_a)) (tptp.ord_gr676655987ssThan X_a)))))
% 22.01/22.24 (assume a226 (= (tptp.ti (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.ord_gr676655987ssThan tptp.nat)) (tptp.ord_gr676655987ssThan tptp.nat)))
% 22.01/22.24 (assume a227 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a (tptp.fun X_a tptp.bool))) (tptp.ord_gr676655987ssThan X_a)) (tptp.ord_gr676655987ssThan X_a)))))
% 22.01/22.24 (assume a228 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_lessThan X_a)) (tptp.ord_lessThan X_a)))))
% 22.01/22.24 (assume a229 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.collect X_a)) (tptp.collect X_a))))
% 22.01/22.24 (assume a230 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.pow X_a)) (tptp.pow X_a))))
% 22.01/22.24 (assume a231 (forall ((X_b $$unsorted) (X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.image X_b X_a)) (tptp.image X_b X_a))))
% 22.01/22.24 (assume a232 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool))) (tptp.sum_Plus X_a X_b)) (tptp.sum_Plus X_a X_b))))
% 22.01/22.24 (assume a233 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.arccos) tptp.arccos))
% 22.01/22.24 (assume a234 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.arcsin) tptp.arcsin))
% 22.01/22.24 (assume a235 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.arctan) tptp.arctan))
% 22.01/22.24 (assume a236 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.cos) tptp.cos))
% 22.01/22.24 (assume a237 (= (tptp.ti (tptp.fun tptp.nat tptp.real) tptp.cos_coeff) tptp.cos_coeff))
% 22.01/22.24 (assume a238 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.ti (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.diffs X_a)) (tptp.diffs X_a)))))
% 22.01/22.24 (assume a239 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (= (tptp.ti (tptp.fun X_a X_a) (tptp.exp X_a)) (tptp.exp X_a)))))
% 22.01/22.24 (assume a240 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.ln) tptp.ln))
% 22.01/22.24 (assume a241 (= (tptp.ti tptp.real tptp.pi) tptp.pi))
% 22.01/22.24 (assume a242 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.sin) tptp.sin))
% 22.01/22.24 (assume a243 (= (tptp.ti (tptp.fun tptp.nat tptp.real) tptp.sin_coeff) tptp.sin_coeff))
% 22.01/22.24 (assume a244 (= (tptp.ti (tptp.fun tptp.real tptp.real) tptp.tan) tptp.tan))
% 22.01/22.24 (assume a245 (= (tptp.ti (tptp.fun tptp.int tptp.bool) tptp.twoSqu1091635170sum2sq) tptp.twoSqu1091635170sum2sq))
% 22.01/22.24 (assume a246 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) tptp.twoSqu1094008024sum2sq) tptp.twoSqu1094008024sum2sq))
% 22.01/22.24 (assume a247 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.accp X_a)) (tptp.accp X_a))))
% 22.01/22.24 (assume a248 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) (tptp.finite_psubset X_a)) (tptp.finite_psubset X_a))))
% 22.01/22.24 (assume a249 (forall ((X_a $$unsorted) (X_b $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod X_b X_b) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) tptp.bool))) (tptp.lex_prod X_a X_b)) (tptp.lex_prod X_a X_b))))
% 22.01/22.24 (assume a250 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool)) (tptp.measure X_a)) (tptp.measure X_a))))
% 22.01/22.24 (assume a251 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool))) (tptp.mlex_prod X_a)) (tptp.mlex_prod X_a))))
% 22.01/22.24 (assume a252 (= (tptp.ti (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) tptp.pred_nat) tptp.pred_nat))
% 22.01/22.24 (assume a253 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.inv) tptp.inv))
% 22.01/22.24 (assume a254 (= (tptp.ti (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.wset) tptp.wset))
% 22.01/22.24 (assume a255 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fEx X_a)) (tptp.fEx X_a))))
% 22.01/22.24 (assume a256 (= (tptp.ti tptp.bool tptp.fFalse) tptp.fFalse))
% 22.01/22.24 (assume a257 (= (tptp.ti (tptp.fun tptp.bool tptp.bool) tptp.fNot) tptp.fNot))
% 22.01/22.24 (assume a258 (= (tptp.ti tptp.bool tptp.fTrue) tptp.fTrue))
% 22.01/22.24 (assume a259 (= (tptp.ti (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) tptp.fconj) tptp.fconj))
% 22.01/22.24 (assume a260 (= (tptp.ti (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) tptp.fdisj) tptp.fdisj))
% 22.01/22.24 (assume a261 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fequal X_a)) (tptp.fequal X_a))))
% 22.01/22.24 (assume a262 (= (tptp.ti (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) tptp.fimplies) tptp.fimplies))
% 22.01/22.24 (assume a263 (forall ((X_a $$unsorted) (X_c $$unsorted) (B_1_1 $$unsorted) (B_2_1 $$unsorted)) (= (tptp.hAPP X_a X_c (tptp.ti (tptp.fun X_a X_c) B_1_1) B_2_1) (tptp.hAPP X_a X_c B_1_1 B_2_1))))
% 22.01/22.24 (assume a264 (forall ((X_a $$unsorted) (X_c $$unsorted) (B_1_1 $$unsorted) (B_2_1 $$unsorted)) (= (tptp.hAPP X_a X_c B_1_1 (tptp.ti X_a B_2_1)) (tptp.hAPP X_a X_c B_1_1 B_2_1))))
% 22.01/22.24 (assume a265 (forall ((X_c $$unsorted) (X_a $$unsorted) (B_1_1 $$unsorted) (B_2_1 $$unsorted)) (= (tptp.ti X_c (tptp.hAPP X_a X_c B_1_1 B_2_1)) (tptp.hAPP X_a X_c B_1_1 B_2_1))))
% 22.01/22.24 (assume a266 (forall ((B_1_1 $$unsorted)) (= (tptp.hBOOL (tptp.ti tptp.bool B_1_1)) (tptp.hBOOL B_1_1))))
% 22.01/22.24 (assume a267 (forall ((X_a $$unsorted)) (= (tptp.ti (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.member X_a)) (tptp.member X_a))))
% 22.01/22.24 (assume a268 (= (tptp.ti tptp.int tptp.m) tptp.m))
% 22.01/22.24 (assume a269 (= (tptp.ti tptp.int tptp.s1) tptp.s1))
% 22.01/22.24 (assume a270 (= (tptp.ti tptp.int tptp.s) tptp.s))
% 22.01/22.24 (assume a271 (= (tptp.ti tptp.int tptp.t) tptp.t))
% 22.01/22.24 (assume a272 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a273 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a274 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a275 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))
% 22.01/22.24 (assume a276 (=> (= tptp.t (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a277 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) tptp.t))))
% 22.01/22.24 (assume a278 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a279 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a280 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (or (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))) (not (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a281 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a282 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a283 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a284 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a285 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a286 (forall ((X_a $$unsorted)) (=> (tptp.ring_11004092258visors X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a287 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) W)))))))
% 22.01/22.24 (assume a288 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a289 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a290 (not (forall ((T_4 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) T_4))))))
% 22.01/22.24 (assume a291 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a292 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu1091635170sum2sq (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))))
% 22.01/22.24 (assume a293 (forall ((W $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W) W))))
% 22.01/22.24 (assume a294 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4) (tptp.ti tptp.int K_4))))
% 22.01/22.24 (assume a295 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z_1))))
% 22.01/22.24 (assume a296 (forall ((Z_1 $$unsorted) (W $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_1) W)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W) Z_1)))))
% 22.01/22.24 (assume a297 (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) W)))))
% 22.01/22.24 (assume a298 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)))))
% 22.01/22.24 (assume a299 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) Y_1)))))))
% 22.01/22.24 (assume a300 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z1) Z2)) Z3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z2) Z3)))))
% 22.01/22.24 (assume a301 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) J_2) K_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_1) K_4))))))
% 22.01/22.24 (assume a302 (forall ((Z_1 $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_1) W)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W) Z_1)) (= (tptp.ti tptp.int Z_1) (tptp.ti tptp.int W))))))
% 22.01/22.24 (assume a303 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Z_1)))))
% 22.01/22.24 (assume a304 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K1) K2)))))
% 22.01/22.24 (assume a305 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)))))
% 22.01/22.24 (assume a306 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) tptp.pls)))
% 22.01/22.24 (assume a307 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K1) K2)))))
% 22.01/22.24 (assume a308 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)))))
% 22.01/22.24 (assume a309 (forall ((Z $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z) W_1)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z) W_1)) (not (= (tptp.ti tptp.int Z) (tptp.ti tptp.int W_1)))))))
% 22.01/22.24 (assume a310 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) I_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) J_2))))))
% 22.01/22.24 (assume a311 (forall ((V_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1) (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V_1) tptp.pls)))))
% 22.01/22.24 (assume a312 (forall ((V_1 $$unsorted)) (= (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V_1) tptp.pls)))))
% 22.01/22.24 (assume a313 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((V_3 $$unsorted) (V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_3)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) V_3)))))))))
% 22.01/22.24 (assume a314 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) W))) Z_1))))))
% 22.01/22.24 (assume a315 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) W)))))))
% 22.01/22.24 (assume a316 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.24 (assume a317 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y_1) Y_1))) (tptp.zero_zero X_a))) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a318 (forall ((X_a $$unsorted)) (=> (tptp.linordered_ring X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Y))))))))
% 22.01/22.24 (assume a319 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) tptp.pls)))))))
% 22.01/22.24 (assume a320 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) Y_1)))))))
% 22.01/22.24 (assume a321 (forall ((V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) V_1)))))
% 22.01/22.24 (assume a322 (forall ((X_a $$unsorted)) (=> (and (tptp.number X_a) (tptp.linorder X_a)) (forall ((V_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)))))))))
% 22.01/22.24 (assume a323 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) K)))))
% 22.01/22.24 (assume a324 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K1) K2)))))
% 22.01/22.24 (assume a325 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)))))
% 22.01/22.24 (assume a326 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) tptp.pls)))))
% 22.01/22.24 (assume a327 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) K)))))
% 22.01/22.24 (assume a328 (forall ((Z_4 $$unsorted) (Z_1 $$unsorted) (W_3 $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_3) W)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_4) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W_3) Z_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W) Z_1)))))))
% 22.01/22.24 (assume a329 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) tptp.pls) (tptp.zero_zero tptp.nat)))
% 22.01/22.24 (assume a330 (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) tptp.pls)))
% 22.01/22.24 (assume a331 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a332 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) Y_1)))))))
% 22.01/22.24 (assume a333 (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.one_one tptp.nat)) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))
% 22.01/22.24 (assume a334 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) tptp.pls) W) tptp.pls)))
% 22.01/22.24 (assume a335 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) L_4) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a336 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)))))
% 22.01/22.24 (assume a337 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) (tptp.one_one tptp.int)) (tptp.ti tptp.int Z_1))))
% 22.01/22.24 (assume a338 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.one_one tptp.int)) Z_1) (tptp.ti tptp.int Z_1))))
% 22.01/22.24 (assume a339 (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) W)))))
% 22.01/22.24 (assume a340 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z1) Z2)) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z1) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z2) W)))))
% 22.01/22.24 (assume a341 (forall ((W $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z1) Z2)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z2)))))
% 22.01/22.24 (assume a342 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) tptp.pls)))))
% 22.01/22.24 (assume a343 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) K)))))
% 22.01/22.24 (assume a344 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K1) K2)))))
% 22.01/22.24 (assume a345 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)))))
% 22.01/22.24 (assume a346 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K1) K2)))))
% 22.01/22.24 (assume a347 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2))) (= (tptp.ti (tptp.fun X_a X_b) F) (tptp.ti (tptp.fun X_a X_b) G)))))
% 22.01/22.24 (assume a348 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool A_3 X_1)))))
% 22.01/22.24 (assume a349 (forall ((X_a $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1) (tptp.ti (tptp.fun X_a tptp.bool) P_1))))
% 22.01/22.24 (assume a350 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)))))
% 22.01/22.24 (assume a351 (forall ((V_1 $$unsorted) (V_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_2))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_1) V_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) V_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_1) V_2))))))
% 22.01/22.24 (assume a352 (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) Z)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z)))))
% 22.01/22.24 (assume a353 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.one_one tptp.nat)))
% 22.01/22.24 (assume a354 (= (tptp.one_one tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))
% 22.01/22.24 (assume a355 (forall ((W $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W) (tptp.one_one tptp.int))) Z_1)))))
% 22.01/22.24 (assume a356 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W_1) (tptp.one_one tptp.int))) Z)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z)))))
% 22.01/22.24 (assume a357 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W_1) Z)))))
% 22.01/22.24 (assume a358 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((V_3 $$unsorted) (V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_3)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) V_3)))))))))
% 22.01/22.24 (assume a359 (forall ((V_3 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_3) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_3) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) V_3)))))))))
% 22.01/22.24 (assume a360 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) Z_1))))))
% 22.01/22.24 (assume a361 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.ring_char_0 X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1)) (= (tptp.ti tptp.int X_1) (tptp.ti tptp.int Y_1)))))))
% 22.01/22.24 (assume a362 (forall ((X_a $$unsorted)) (=> (tptp.number X_a) (forall ((W_1 $$unsorted) (X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.ti X_a X_1)) (= (tptp.ti X_a X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))))))
% 22.01/22.24 (assume a363 (forall ((K $$unsorted) (L $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int tptp.bit1 K) (tptp.hAPP tptp.int tptp.int tptp.bit1 L)) (= (tptp.ti tptp.int K) (tptp.ti tptp.int L)))))
% 22.01/22.24 (assume a364 (forall ((K $$unsorted) (L $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int tptp.bit0 K) (tptp.hAPP tptp.int tptp.int tptp.bit0 L)) (= (tptp.ti tptp.int K) (tptp.ti tptp.int L)))))
% 22.01/22.24 (assume a365 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) Y)) (= (tptp.ti tptp.int X) (tptp.ti tptp.int Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y) X)))))
% 22.01/22.24 (assume a366 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y_1) Y_1)) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a367 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.semiring X_b)) (forall ((A_1 $$unsorted) (B $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) A_1) B)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) A_1) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) B) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))))))))
% 22.01/22.24 (assume a368 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.semiring X_b)) (forall ((V $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) B) C)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) B)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) C)))))))
% 22.01/22.24 (assume a369 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z1) Z2)) Z3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z2) Z3)))))
% 22.01/22.24 (assume a370 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Y) Z_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Z_1)))))
% 22.01/22.24 (assume a371 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W) Z_1))))
% 22.01/22.24 (assume a372 (= (tptp.zero_zero tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.pls)))
% 22.01/22.24 (assume a373 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) I_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) J_2)))))))
% 22.01/22.24 (assume a374 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y)) (= (tptp.ti X_a X) (tptp.ti X_a Y)))))))))
% 22.01/22.24 (assume a375 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y))))))))
% 22.01/22.24 (assume a376 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a377 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))))))))
% 22.01/22.24 (assume a378 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.zero_zero X_a))) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a379 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a380 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y_1) Y_1)))) (or (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))) (not (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a381 (forall ((X_a $$unsorted)) (=> (tptp.linordered_ring X_a) (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Y))) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a382 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a383 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a384 (= (tptp.one_one tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))
% 22.01/22.24 (assume a385 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) L_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) L_4))) L_4))))
% 22.01/22.24 (assume a386 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Ma) N_1) (tptp.one_one tptp.int)) (and (= (tptp.ti tptp.int Ma) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int N_1) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a387 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a388 (forall ((K_4 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4) tptp.pls))))
% 22.01/22.24 (assume a389 (forall ((L_4 $$unsorted)) (not (= tptp.pls (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)))))
% 22.01/22.24 (assume a390 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)))))
% 22.01/22.24 (assume a391 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)))))
% 22.01/22.24 (assume a392 (forall ((K $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int tptp.bit0 K) tptp.pls) (= (tptp.ti tptp.int K) tptp.pls))))
% 22.01/22.24 (assume a393 (forall ((L $$unsorted)) (= (= tptp.pls (tptp.hAPP tptp.int tptp.int tptp.bit0 L)) (= tptp.pls (tptp.ti tptp.int L)))))
% 22.01/22.24 (assume a394 (= (tptp.hAPP tptp.int tptp.int tptp.bit0 tptp.pls) tptp.pls))
% 22.01/22.24 (assume a395 (= tptp.pls (tptp.zero_zero tptp.int)))
% 22.01/22.24 (assume a396 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit1 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K1) K2)))))
% 22.01/22.24 (assume a397 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)))))
% 22.01/22.24 (assume a398 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) tptp.pls))))
% 22.01/22.24 (assume a399 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K1) K2)))))
% 22.01/22.24 (assume a400 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)))))
% 22.01/22.24 (assume a401 (not (= (tptp.zero_zero tptp.int) (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a402 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) tptp.pls) (tptp.ti tptp.int K_4))))
% 22.01/22.24 (assume a403 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) tptp.pls) K_4) (tptp.ti tptp.int K_4))))
% 22.01/22.24 (assume a404 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a405 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) K_4))))
% 22.01/22.24 (assume a406 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) (tptp.zero_zero tptp.int)) (tptp.ti tptp.int Z_1))))
% 22.01/22.24 (assume a407 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.zero_zero tptp.int)) Z_1) (tptp.ti tptp.int Z_1))))
% 22.01/22.24 (assume a408 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_1) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) J_2) K_4))))))
% 22.01/22.24 (assume a409 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 W)))))))
% 22.01/22.24 (assume a410 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1)) A_1))))))
% 22.01/22.24 (assume a411 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) Z_1))))))
% 22.01/22.24 (assume a412 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) Z_1))))))
% 22.01/22.24 (assume a413 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) Z_1))))))
% 22.01/22.24 (assume a414 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) Z_1))))))
% 22.01/22.24 (assume a415 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1))))))
% 22.01/22.24 (assume a416 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a417 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a418 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a419 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.zero_zero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls)))))
% 22.01/22.24 (assume a420 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a421 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a422 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) Y_1)))))))
% 22.01/22.24 (assume a423 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) W))) Z_1))))))
% 22.01/22.24 (assume a424 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) W)))))))
% 22.01/22.24 (assume a425 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.24 (assume a426 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) tptp.pls)))))
% 22.01/22.24 (assume a427 (forall ((K1 $$unsorted) (K2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K1)) (tptp.hAPP tptp.int tptp.int tptp.bit0 K2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K1) K2)))))
% 22.01/22.24 (assume a428 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)))))
% 22.01/22.24 (assume a429 (forall ((W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 W_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a430 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) tptp.pls)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) tptp.pls)))))
% 22.01/22.24 (assume a431 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) K)))))
% 22.01/22.24 (assume a432 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a433 (forall ((W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a434 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a435 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a436 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a437 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) K_4)) K_4))))
% 22.01/22.24 (assume a438 (forall ((Z_1 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) Z_1)) Z_1) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a439 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z) (tptp.one_one tptp.int)))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z)) (= (tptp.ti tptp.int W_1) (tptp.ti tptp.int Z))))))
% 22.01/22.24 (assume a440 (forall ((X_b $$unsorted)) (=> (and (tptp.monoid_mult X_b) (tptp.number X_b)) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) W)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) W)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) W)))))))
% 22.01/22.24 (assume a441 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) Y)))))))
% 22.01/22.24 (assume a442 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.24 (assume a443 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.24 (assume a444 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a445 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a446 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.one_one X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a447 (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) Z)) Z)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a448 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) tptp.pls)))))))
% 22.01/22.24 (assume a449 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) Y_1)))))))
% 22.01/22.24 (assume a450 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a451 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a452 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a453 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) Y_1)))))))
% 22.01/22.24 (assume a454 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a455 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a456 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) B))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a457 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (or (= (tptp.ti tptp.int X) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int X) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a458 (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) tptp.s)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong tptp.s1) tptp.s) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a459 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a460 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a461 (forall ((R_4 $$unsorted) (Q_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) Q_3))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) A_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) Q_3)))))))
% 22.01/22.24 (assume a462 (forall ((R_4 $$unsorted) (Q_3 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) Q_3))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_3) (tptp.one_one tptp.int))))))))
% 22.01/22.24 (assume a463 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a464 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)))))))
% 22.01/22.24 (assume a465 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a466 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a467 (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong tptp.s1) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong tptp.s1) Y_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))))) (= (tptp.ti tptp.int Y_2) (tptp.ti tptp.int X_2)))))))
% 22.01/22.24 (assume a468 (not (forall ((S_1 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) S_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) S_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong tptp.s1) S_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a469 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a470 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) N_1))) (or (= N_1 (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) X_1))))))
% 22.01/22.24 (assume a471 (forall ((A_1 $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) A_1))))))
% 22.01/22.24 (assume a472 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) P_5)) Q_3) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) P_5) Q_3)))))))
% 22.01/22.24 (assume a473 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) B))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) P_5) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) P_5) N)) A_1)))))))
% 22.01/22.24 (assume a474 (forall ((N $$unsorted) (B $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) A_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) P_5) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) P_5) N)) B)))))))
% 22.01/22.24 (assume a475 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Y)) Z_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Y) Z_1)))))
% 22.01/22.24 (assume a476 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) M) N)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N) M)))))))
% 22.01/22.24 (assume a477 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N) M)) (= (tptp.ti tptp.int M) (tptp.ti tptp.int N))))))))
% 22.01/22.24 (assume a478 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N))) (=> (not (= (tptp.ti tptp.int K_4) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M) N))))))
% 22.01/22.24 (assume a479 (forall ((K $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) Ma)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) N_1)))))
% 22.01/22.24 (assume a480 (forall ((C_1 $$unsorted) (X_1 $$unsorted) (Ta $$unsorted) (A_2 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_2) D_1)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) Ta))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) D_1))) Ta)))))))
% 22.01/22.24 (assume a481 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a482 (forall ((Z_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Z_1) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_1) N))))))
% 22.01/22.24 (assume a483 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu1091635170sum2sq X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu1091635170sum2sq Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu1091635170sum2sq (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)))))))
% 22.01/22.24 (assume a484 (forall ((V_1 $$unsorted) (V_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_2))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V_1) V_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V_1) tptp.pls))))))
% 22.01/22.24 (assume a485 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Rx)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Ly) Ry)))))))
% 22.01/22.24 (assume a486 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) Ry)))))))
% 22.01/22.24 (assume a487 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Ly) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry))))))))
% 22.01/22.24 (assume a488 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) Rx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Rx)) Ly))))))
% 22.01/22.24 (assume a489 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Ly $$unsorted) (Rx $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ly)) Rx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Ly) Rx)))))))
% 22.01/22.24 (assume a490 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Rx)) Ry))))))
% 22.01/22.24 (assume a491 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((Lx $$unsorted) (Rx $$unsorted) (Ry $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) Ry)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Rx) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Lx) Ry)))))))
% 22.01/22.24 (assume a492 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1))))))
% 22.01/22.24 (assume a493 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1))))))
% 22.01/22.24 (assume a494 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) D)))))))
% 22.01/22.24 (assume a495 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) D))))))
% 22.01/22.24 (assume a496 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C)))))))
% 22.01/22.24 (assume a497 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) B))))))
% 22.01/22.24 (assume a498 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)))))))
% 22.01/22.24 (assume a499 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.one_one tptp.nat)) (tptp.ti X_a X))))))
% 22.01/22.24 (assume a500 (forall ((X_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (or (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1) (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) X_1))))))
% 22.01/22.24 (assume a501 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Z_1) Z_1))))
% 22.01/22.24 (assume a502 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Z_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Z_1) Z_1))))
% 22.01/22.24 (assume a503 (forall ((V_3 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) V_3)))))))
% 22.01/22.24 (assume a504 (forall ((V_3 $$unsorted) (K_4 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) V) V_3))) K_4))))))
% 22.01/22.24 (assume a505 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a506 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) K_4))) (tptp.zero_zero X_a))) (= (tptp.ti X_a A_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a507 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.zero_zero X_a)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a508 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a509 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a510 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.zero_zero X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a511 (forall ((X_a $$unsorted)) (=> (tptp.semiri456707255roduct X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (= (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) A_2)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a512 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Z_1)))))))
% 22.01/22.24 (assume a513 (forall ((X_a $$unsorted)) (=> (tptp.semiri456707255roduct X_a) (forall ((C_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (and (not (= (tptp.ti X_a A_2) (tptp.ti X_a B_1))) (not (= (tptp.ti X_a C_1) (tptp.ti X_a D_1)))) (not (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) D_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) D_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) C_1)))))))))
% 22.01/22.24 (assume a514 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))
% 22.01/22.24 (assume a515 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (M $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) M)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) M)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) M))))))
% 22.01/22.24 (assume a516 (forall ((X_a $$unsorted)) (=> (tptp.semiri456707255roduct X_a) (forall ((W_1 $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted) (Z $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) W_1) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) Z)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) W_1) Z)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) Y_1))) (or (= (tptp.ti X_a W_1) (tptp.ti X_a X_1)) (= (tptp.ti X_a Y_1) (tptp.ti X_a Z))))))))
% 22.01/22.24 (assume a517 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.one_one X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a518 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.one_one X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a519 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (Y $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) Q_3) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) Q_3)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) Q_3)))))))
% 22.01/22.24 (assume a520 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) P_5)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) Q_3)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) P_5) Q_3)))))))
% 22.01/22.24 (assume a521 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.zero_zero tptp.nat)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a522 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a523 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))))))))
% 22.01/22.24 (assume a524 (forall ((X_a $$unsorted)) (=> (tptp.semiri456707255roduct X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted) (R_4 $$unsorted)) (=> (not (= (tptp.ti X_a R_4) (tptp.zero_zero X_a))) (=> (and (= (tptp.ti X_a A_1) (tptp.ti X_a B)) (not (= (tptp.ti X_a C) (tptp.ti X_a D)))) (not (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) R_4) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) R_4) D))))))))))
% 22.01/22.24 (assume a525 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((M $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) M) M) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a))) M))))))
% 22.01/22.24 (assume a526 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((M $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) M) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) M)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.one_one X_a))) M))))))
% 22.01/22.24 (assume a527 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (M $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) M)) M) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.one_one X_a))) M))))))
% 22.01/22.24 (assume a528 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.mult_zero X_a) (tptp.no_zero_divisors X_a) (tptp.zero_neq_one X_a)) (forall ((A_2 $$unsorted) (W_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)) (not (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1) (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.24 (assume a529 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B))))))
% 22.01/22.24 (assume a530 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a531 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)))))))
% 22.01/22.24 (assume a532 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)))))))
% 22.01/22.24 (assume a533 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N))))))
% 22.01/22.24 (assume a534 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.semiring_0 X_a)) (forall ((W $$unsorted)) (and (=> (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W) (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.one_one X_a))) (=> (not (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W) (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a535 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a536 (forall ((B_5 $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_5) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Q_5)))))))
% 22.01/22.24 (assume a537 (forall ((B_5 $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5)) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_5) (tptp.zero_zero tptp.int))))))))
% 22.01/22.24 (assume a538 (forall ((B $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_5)) R_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3)) R_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_5) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_5) Q_3))))))))
% 22.01/22.24 (assume a539 (forall ((B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted) (B_5 $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3)) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_5) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_5) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_3) Q_5))))))))))
% 22.01/22.24 (assume a540 (forall ((B $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_5)) R_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3)) R_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) R_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_3) Q_5))))))))
% 22.01/22.24 (assume a541 (forall ((B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted) (B_5 $$unsorted) (Q_5 $$unsorted) (R_5 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3)) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) Q_5)) R_5)) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_5) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Q_5) Q_3))))))))))
% 22.01/22.24 (assume a542 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a543 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a544 (forall ((Y $$unsorted) (X $$unsorted) (P_5 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X) P_5)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) Y)))))))
% 22.01/22.24 (assume a545 (forall ((P_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) P_4)) (forall ((M_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M_2) P_4))) (or (= (tptp.ti tptp.int M_2) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int M_2) (tptp.ti tptp.int P_4)))))))))
% 22.01/22.24 (assume a546 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (= (tptp.ti tptp.int P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (=> (not (= (tptp.ti tptp.int P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_5)))))))
% 22.01/22.24 (assume a547 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a548 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N))))))))))
% 22.01/22.24 (assume a549 (forall ((X_a $$unsorted)) (=> (tptp.linord626643107strict X_a) (forall ((V $$unsorted) (U $$unsorted) (Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) U)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) V)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) U) V) (tptp.one_one X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) U) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) V) Y))) A_1)))))))))))
% 22.01/22.24 (assume a550 (forall ((Y $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Y) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) Y)))))))
% 22.01/22.24 (assume a551 (forall ((N $$unsorted) (P_5 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) N))))))))
% 22.01/22.24 (assume a552 (forall ((B $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong B) (tptp.zero_zero tptp.int)) P_5)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) (tptp.zero_zero tptp.int)) P_5))))))))
% 22.01/22.24 (assume a553 (forall ((B $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) (tptp.zero_zero tptp.int)) P_5)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong B) (tptp.zero_zero tptp.int)) P_5))))))))
% 22.01/22.24 (assume a554 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a555 (not (forall ((S1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) S1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))))))))
% 22.01/22.24 (assume a556 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.one_one tptp.int)))
% 22.01/22.24 (assume a557 (forall ((K $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int tptp.bit1 K) tptp.min_1) (= (tptp.ti tptp.int K) tptp.min_1))))
% 22.01/22.24 (assume a558 (forall ((L $$unsorted)) (= (= tptp.min_1 (tptp.hAPP tptp.int tptp.int tptp.bit1 L)) (= tptp.min_1 (tptp.ti tptp.int L)))))
% 22.01/22.24 (assume a559 (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.min_1) tptp.min_1))
% 22.01/22.24 (assume a560 (not (= tptp.pls tptp.min_1)))
% 22.01/22.24 (assume a561 (not (= tptp.min_1 tptp.pls)))
% 22.01/22.24 (assume a562 (forall ((K_4 $$unsorted)) (not (= (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4) tptp.min_1))))
% 22.01/22.24 (assume a563 (forall ((L_4 $$unsorted)) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)))))
% 22.01/22.24 (assume a564 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) tptp.min_1))))
% 22.01/22.24 (assume a565 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.min_1) tptp.min_1)))
% 22.01/22.24 (assume a566 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) tptp.min_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) tptp.min_1)))))
% 22.01/22.24 (assume a567 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) K)))))
% 22.01/22.24 (assume a568 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) tptp.min_1))))
% 22.01/22.24 (assume a569 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) tptp.pls)))
% 22.01/22.24 (assume a570 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) K)))))
% 22.01/22.24 (assume a571 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a572 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.min_1) K)))))
% 22.01/22.24 (assume a573 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K)) tptp.min_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) tptp.min_1)))))
% 22.01/22.24 (assume a574 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.min_1) tptp.pls)))
% 22.01/22.24 (assume a575 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) tptp.min_1))))
% 22.01/22.24 (assume a576 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) tptp.min_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) tptp.min_1)))))
% 22.01/22.24 (assume a577 (not (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))
% 22.01/22.24 (assume a578 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K)) tptp.min_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) tptp.min_1)))))
% 22.01/22.24 (assume a579 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit0 K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.min_1) K)))))
% 22.01/22.24 (assume a580 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Ma) N_1) (tptp.one_one tptp.int)) (or (and (= (tptp.ti tptp.int Ma) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int N_1) (tptp.one_one tptp.int))) (and (= (tptp.ti tptp.int Ma) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)))))))
% 22.01/22.24 (assume a581 (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N) (tptp.one_one tptp.int)) (or (= (tptp.ti tptp.int M) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int M) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))))
% 22.01/22.24 (assume a582 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a583 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) A_1))))))
% 22.01/22.24 (assume a584 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) C))))))))
% 22.01/22.24 (assume a585 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong B_1) A_2) Ma)))))
% 22.01/22.24 (assume a586 (forall ((K_4 $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) K_4) M))))
% 22.01/22.24 (assume a587 (forall ((D $$unsorted) (C $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (= (tptp.ti tptp.int B) (tptp.ti tptp.int C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C) D) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) D) M)))))))
% 22.01/22.24 (assume a588 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong B) C) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) C) M))))))
% 22.01/22.24 (assume a589 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) P_5)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.one_one tptp.int)) P_5)))))))
% 22.01/22.24 (assume a590 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))))))))
% 22.01/22.24 (assume a591 (forall ((X_a $$unsorted)) (=> (tptp.no_zero_divisors X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B) (tptp.zero_zero X_a)) (or (= (tptp.ti X_a A_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a B) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a592 (forall ((X_a $$unsorted)) (=> (tptp.no_zero_divisors X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (not (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a593 (forall ((X_a $$unsorted)) (=> (tptp.ring_n68954251visors X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1) (tptp.zero_zero X_a)) (or (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a B_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a594 (forall ((X_a $$unsorted)) (=> (tptp.mult_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a595 (forall ((X_a $$unsorted)) (=> (tptp.mult_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.zero_zero X_a)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a596 (forall ((X_a $$unsorted)) (=> (tptp.zero_neq_one X_a) (not (= (tptp.zero_zero X_a) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a597 (forall ((X_a $$unsorted)) (=> (tptp.zero_neq_one X_a) (not (= (tptp.one_one X_a) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a598 (forall ((X_a $$unsorted)) (=> (tptp.semiring X_a) (forall ((A_1 $$unsorted) (E_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) E_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) E_1)) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) E_1)) C))))))
% 22.01/22.24 (assume a599 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))
% 22.01/22.24 (assume a600 (forall ((X_a $$unsorted)) (=> (tptp.ring_11004092258visors X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (not (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a601 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.zero_zero X_a)) A_1)) (= (tptp.ti X_a A_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a602 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N)))))))
% 22.01/22.24 (assume a603 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))
% 22.01/22.24 (assume a604 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))
% 22.01/22.24 (assume a605 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1)))))))
% 22.01/22.24 (assume a606 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))))))))
% 22.01/22.24 (assume a607 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))))))))
% 22.01/22.24 (assume a608 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))
% 22.01/22.24 (assume a609 (forall ((X_a $$unsorted)) (=> (tptp.dvd X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (K_4 $$unsorted)) (=> (= (tptp.ti X_a A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) K_4)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) B) A_1)))))))
% 22.01/22.24 (assume a610 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) C)))))))
% 22.01/22.24 (assume a611 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) B) C)))))))
% 22.01/22.24 (assume a612 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C)))))))))
% 22.01/22.24 (assume a613 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.one_one X_a)) N) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a614 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.one_one X_a)) A_1))))))
% 22.01/22.24 (assume a615 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((N $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) N))))))))
% 22.01/22.24 (assume a616 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((M $$unsorted) (A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) B))))))))
% 22.01/22.24 (assume a617 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((N $$unsorted) (M $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) M)))))))))
% 22.01/22.24 (assume a618 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))
% 22.01/22.24 (assume a619 (forall ((M $$unsorted) (N $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) I_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) I_1) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) I_1) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))))))
% 22.01/22.24 (assume a620 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) N_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) X_1)) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a621 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) N))))))
% 22.01/22.24 (assume a622 (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) C)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) A_1)))))))
% 22.01/22.24 (assume a623 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.one_one tptp.nat)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a624 (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong M) (tptp.zero_zero tptp.int)) M))))
% 22.01/22.24 (assume a625 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int A_2) (tptp.ti tptp.int B_1)))))
% 22.01/22.24 (assume a626 (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a627 (forall ((A_1 $$unsorted) (M $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) M)) M))))
% 22.01/22.24 (assume a628 (forall ((C_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) D_1)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) D_1)) Ma))))))
% 22.01/22.24 (assume a629 (forall ((C_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) D_1) A_2)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) D_1) B_1)) Ma))))))
% 22.01/22.24 (assume a630 (forall ((K_4 $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) K_4)) M)))))
% 22.01/22.24 (assume a631 (forall ((K_4 $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) B)) M)))))
% 22.01/22.24 (assume a632 (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C) D) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) D)) M))))))
% 22.01/22.24 (assume a633 (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C) D) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) B) D)) M))))))
% 22.01/22.24 (assume a634 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) B) C)) M)))))
% 22.01/22.24 (assume a635 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) Y) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Z_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Y) Z_1)) M)))))
% 22.01/22.24 (assume a636 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a637 (forall ((X_a $$unsorted)) (=> (tptp.ordere453448008miring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a638 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))))))))
% 22.01/22.24 (assume a639 (forall ((X_a $$unsorted)) (=> (tptp.ordered_semiring X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a640 (forall ((X_a $$unsorted)) (=> (tptp.ordered_semiring X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a641 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a642 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))))
% 22.01/22.24 (assume a643 (forall ((X_a $$unsorted)) (=> (tptp.ordere1490568538miring X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a644 (forall ((X_a $$unsorted)) (=> (tptp.ordered_semiring X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a645 (forall ((X_a $$unsorted)) (=> (tptp.ordered_semiring X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))))
% 22.01/22.24 (assume a646 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))))
% 22.01/22.24 (assume a647 (forall ((X_a $$unsorted)) (=> (tptp.ordere453448008miring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a648 (forall ((X_a $$unsorted)) (=> (tptp.ordere453448008miring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a649 (forall ((X_a $$unsorted)) (=> (tptp.ordere453448008miring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a650 (forall ((X_a $$unsorted)) (=> (tptp.ordere453448008miring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))))
% 22.01/22.24 (assume a651 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) (tptp.zero_zero X_a))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B_1)))))))))
% 22.01/22.24 (assume a652 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.24 (assume a653 (forall ((X_a $$unsorted)) (=> (tptp.linordered_ring X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1)))))))
% 22.01/22.24 (assume a654 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a655 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))))
% 22.01/22.24 (assume a656 (forall ((X_a $$unsorted)) (=> (tptp.linord893533164strict X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a657 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)))))))))
% 22.01/22.24 (assume a658 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))))
% 22.01/22.24 (assume a659 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))))
% 22.01/22.24 (assume a660 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a661 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2))))))))
% 22.01/22.24 (assume a662 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B))))))))
% 22.01/22.24 (assume a663 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B))))))))
% 22.01/22.24 (assume a664 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a665 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a666 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))))
% 22.01/22.24 (assume a667 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))))))))
% 22.01/22.24 (assume a668 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2)))))))))
% 22.01/22.24 (assume a669 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) C_1))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2)))))))))
% 22.01/22.24 (assume a670 (forall ((X_a $$unsorted)) (=> (tptp.linordered_ring X_a) (forall ((A_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a671 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)))))))))
% 22.01/22.24 (assume a672 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a673 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a674 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a675 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a676 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N)))))))))
% 22.01/22.24 (assume a677 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))
% 22.01/22.24 (assume a678 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) M)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) M) N)))))))))
% 22.01/22.24 (assume a679 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))
% 22.01/22.24 (assume a680 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.one_one X_a))))))))
% 22.01/22.24 (assume a681 (forall ((X_a $$unsorted)) (=> (tptp.idom X_a) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (or (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1))))))))
% 22.01/22.24 (assume a682 (forall ((X_a $$unsorted)) (=> (tptp.idom X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) C_1))) (or (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1))))))))
% 22.01/22.24 (assume a683 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (N_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N_5)))))))))
% 22.01/22.24 (assume a684 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))
% 22.01/22.24 (assume a685 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((Ma $$unsorted) (N_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_2)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) Ma) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) N_1)) (= Ma N_1)))))))
% 22.01/22.24 (assume a686 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.mult_zero X_a) (tptp.no_zero_divisors X_a) (tptp.zero_neq_one X_a)) (forall ((A_2 $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) N_1) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)) (not (= N_1 (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.24 (assume a687 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.zero_zero tptp.nat)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a688 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))
% 22.01/22.24 (assume a689 (forall ((B $$unsorted) (M $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) A_1)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)))))))))
% 22.01/22.24 (assume a690 (forall ((M $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) M)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) M)))))))
% 22.01/22.24 (assume a691 (forall ((M $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) Y) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y) M)) (= (tptp.ti tptp.int X) (tptp.ti tptp.int Y))))))))))
% 22.01/22.24 (assume a692 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N) M)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) M) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N) M))))))
% 22.01/22.24 (assume a693 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (exists ((K_1 $$unsorted)) (= (tptp.ti tptp.int B_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Ma) K_1)))))))
% 22.01/22.24 (assume a694 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_1) (tptp.zero_zero tptp.int)) P_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_4) X_1)))))
% 22.01/22.24 (assume a695 (forall ((A_2 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Ma) A_2)))))
% 22.01/22.24 (assume a696 (forall ((M $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) N)))))))
% 22.01/22.24 (assume a697 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B))))))))
% 22.01/22.24 (assume a698 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B))))))))
% 22.01/22.24 (assume a699 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a700 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semiring X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a701 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a702 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semiring X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a703 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a704 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a705 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a706 (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) D)))))))))))
% 22.01/22.24 (assume a707 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2))))))))
% 22.01/22.24 (assume a708 (forall ((X_a $$unsorted)) (=> (tptp.linord581940658strict X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1))))))))
% 22.01/22.24 (assume a709 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) X)) X)))))))))
% 22.01/22.24 (assume a710 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) X)))))))))
% 22.01/22.24 (assume a711 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))))))
% 22.01/22.24 (assume a712 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a713 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (N_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N_5)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))))
% 22.01/22.24 (assume a714 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted) (N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N))))))))
% 22.01/22.24 (assume a715 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) B_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B_1) X_1)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X_1) Y_1))))))))
% 22.01/22.24 (assume a716 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))))
% 22.01/22.24 (assume a717 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))))
% 22.01/22.24 (assume a718 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.semiring_0 X_a)) (forall ((N $$unsorted)) (and (=> (= N (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) N) (tptp.one_one X_a))) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) N) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a719 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (N_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N_5)))))))))
% 22.01/22.24 (assume a720 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted) (N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))))))))
% 22.01/22.24 (assume a721 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) B_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B_1) X_1)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_1) Y_1))))))))
% 22.01/22.24 (assume a722 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a723 (forall ((M $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) M)) (= (tptp.ti tptp.int X) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a724 (forall ((M $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) M)) (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a725 (forall ((B $$unsorted) (M $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (= (tptp.ti tptp.int A_1) (tptp.ti tptp.int B)))))))))
% 22.01/22.24 (assume a726 (forall ((P_5 $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Y) N)))))))
% 22.01/22.24 (assume a727 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Y)) (tptp.one_one tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Y) Z_1))) (tptp.one_one tptp.int)) P_5)))))
% 22.01/22.24 (assume a728 (forall ((Y $$unsorted) (X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong Y) (tptp.zero_zero tptp.int)) P_5))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)) (tptp.zero_zero tptp.int)) P_5))))))))
% 22.01/22.24 (assume a729 (forall ((X_a $$unsorted)) (=> (tptp.linord1278240602ring_1 X_a) (forall ((V $$unsorted) (U $$unsorted) (Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) U)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) V)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) U) V) (tptp.one_one X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) U) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) V) Y))) A_1)))))))))))
% 22.01/22.24 (assume a730 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))))
% 22.01/22.24 (assume a731 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (N_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N_5)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N))))))))))
% 22.01/22.24 (assume a732 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.ti X_a A_1) (tptp.ti X_a B))))))))))
% 22.01/22.24 (assume a733 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))))
% 22.01/22.24 (assume a734 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.ti X_a X) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))))))))
% 22.01/22.24 (assume a735 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))
% 22.01/22.24 (assume a736 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)))))
% 22.01/22.24 (assume a737 (forall ((J_2 $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) J_2)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) K_4)) M)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) J_2) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) K_4))))))
% 22.01/22.24 (assume a738 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) M))))))
% 22.01/22.24 (assume a739 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a740 (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a741 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) M)) (tptp.one_one tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) M)) (tptp.one_one tptp.int))) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a742 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) N))))
% 22.01/22.24 (assume a743 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 N)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 N))))))))
% 22.01/22.24 (assume a744 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a745 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_6)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_6) A_1)))))))
% 22.01/22.24 (assume a746 (forall ((X_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X_1) X_1)))) (= X_1 (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a747 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) V) W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.24 (assume a748 (forall ((K $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) N_1)))))
% 22.01/22.24 (assume a749 (forall ((Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) (tptp.one_one tptp.nat))) (= Ma (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a750 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) Z_1)))))))))
% 22.01/22.24 (assume a751 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) tptp.pls) (tptp.ti tptp.int K_4))))
% 22.01/22.24 (assume a752 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a753 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z1) Z2)) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z1) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z2) W)))))
% 22.01/22.24 (assume a754 (forall ((W $$unsorted) (Z1 $$unsorted) (Z2 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z1) Z2)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z2)))))
% 22.01/22.24 (assume a755 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) B) (tptp.ti tptp.int C)) (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) C) B)))))
% 22.01/22.24 (assume a756 (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong C) D) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B) D)) M))))))
% 22.01/22.24 (assume a757 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) M) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M))))))
% 22.01/22.24 (assume a758 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) M)))))))
% 22.01/22.24 (assume a759 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_ring X_a) (tptp.dvd X_a)) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) D_2)) (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Ta))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) K_1) D_2))) Ta))))))))))
% 22.01/22.24 (assume a760 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_ring X_a) (tptp.dvd X_a)) (forall ((Ta $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) D_2)) (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Ta)))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) K_1) D_2))) Ta)))))))))))
% 22.01/22.24 (assume a761 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1)) (= (tptp.ti X_a C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B_1) A_2)) E_2)) D_1)))))))
% 22.01/22.24 (assume a762 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) E_2)) C_1) (tptp.ti X_a D_1)))))))
% 22.01/22.24 (assume a763 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.ring X_b)) (forall ((V $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) B) C)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) B)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) C)))))))
% 22.01/22.24 (assume a764 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.ring X_b)) (forall ((A_1 $$unsorted) (B $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) A_1) B)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) A_1) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) B) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))))))))
% 22.01/22.24 (assume a765 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a766 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) L_4)))))
% 22.01/22.24 (assume a767 (forall ((L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.pls) L_4)))))
% 22.01/22.24 (assume a768 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) L)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K) L)) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a769 (forall ((K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) N))))))
% 22.01/22.24 (assume a770 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) N))))))
% 22.01/22.24 (assume a771 (forall ((A_1 $$unsorted) (R_4 $$unsorted) (B $$unsorted) (M $$unsorted) (C $$unsorted) (D $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) R_4) B))) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) R_4) D))) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C) N))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) D) N)))))))
% 22.01/22.24 (assume a772 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Ma) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_2) B_1))))))
% 22.01/22.24 (assume a773 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) E_2)) C_1)) D_1)))))))
% 22.01/22.24 (assume a774 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B_1) A_2)) E_2)) D_1))))))))
% 22.01/22.24 (assume a775 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B_1) A_2)) E_2)) D_1))))))))
% 22.01/22.24 (assume a776 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring X_a) (forall ((A_2 $$unsorted) (E_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) E_2)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) E_2)) D_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) E_2)) C_1)) D_1)))))))
% 22.01/22.24 (assume a777 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1)) Ma)) (= N_1 (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a778 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Ma)) Ma)) (= N_1 (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a779 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) W))) C))))))
% 22.01/22.24 (assume a780 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) A_1)) (=> (not (= (tptp.ti tptp.int X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a781 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z)))))
% 22.01/22.24 (assume a782 (forall ((L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.min_1) L_4)))))
% 22.01/22.24 (assume a783 (forall ((L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit0 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.min_1) L_4)))))
% 22.01/22.24 (assume a784 (forall ((L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) tptp.min_1) L_4)))))
% 22.01/22.24 (assume a785 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (tptp.one_one tptp.int)) P_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int))) P_4)))))
% 22.01/22.24 (assume a786 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N)))))
% 22.01/22.24 (assume a787 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (not (= Ma N_1)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma))))))
% 22.01/22.24 (assume a788 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= X Y)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Y))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Y) X))))))
% 22.01/22.24 (assume a789 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N)))))
% 22.01/22.24 (assume a790 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) M)) (not (= M N)))))
% 22.01/22.24 (assume a791 (forall ((S_3 $$unsorted) (T_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) S_3) T_5)) (not (= S_3 T_5)))))
% 22.01/22.24 (assume a792 (forall ((P_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 N_1) Ma))) (=> (=> (= Ma N_1) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 N_1) Ma))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 N_1) Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 N_1) Ma)))))))
% 22.01/22.24 (assume a793 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) M))))
% 22.01/22.24 (assume a794 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X) Z_1)))))
% 22.01/22.24 (assume a795 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) K_4)))))
% 22.01/22.24 (assume a796 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) N_1)) (= Ma N_1))))
% 22.01/22.24 (assume a797 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K)) (= Ma N_1))))
% 22.01/22.24 (assume a798 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= M N)))))
% 22.01/22.24 (assume a799 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J_2) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) K_4))))))
% 22.01/22.24 (assume a800 (forall ((M $$unsorted) (N $$unsorted)) (=> (= M N) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)))))
% 22.01/22.24 (assume a801 (forall ((M $$unsorted) (N $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)))))
% 22.01/22.24 (assume a802 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) N))))
% 22.01/22.24 (assume a803 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) M))))
% 22.01/22.24 (assume a804 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) K_4)))))
% 22.01/22.24 (assume a805 (forall ((I_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) I_1) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) I_1) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) I_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N))))))
% 22.01/22.24 (assume a806 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) A_1)) (tptp.one_one tptp.int)) P_5)) (or (= (tptp.ti tptp.int A_1) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))))))))))
% 22.01/22.24 (assume a807 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) A_1)) (tptp.one_one tptp.int)) P_5)) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.one_one tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) P_5))))))))
% 22.01/22.24 (assume a808 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a809 (forall ((N_1 $$unsorted)) (= (not (= N_1 (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))
% 22.01/22.24 (assume a810 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a811 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (not (= N (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a812 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)))))
% 22.01/22.24 (assume a813 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.zero_zero tptp.nat)) N) N)))
% 22.01/22.24 (assume a814 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) (tptp.zero_zero tptp.nat)) M)))
% 22.01/22.24 (assume a815 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1) (tptp.zero_zero tptp.nat)) (and (= Ma (tptp.zero_zero tptp.nat)) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a816 (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) M) (= N (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a817 (forall ((P_2 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hBOOL P_1) (tptp.hBOOL P_2))) (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (tptp.hBOOL P_1)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (tptp.hBOOL P_2))))))
% 22.01/22.24 (assume a818 (forall ((P_2 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hBOOL P_1) (tptp.hBOOL P_2))) (= (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (tptp.hBOOL P_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (tptp.hBOOL P_2))))))
% 22.01/22.24 (assume a819 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) N))))
% 22.01/22.24 (assume a820 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) (tptp.zero_zero tptp.nat))) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a821 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.zero_zero tptp.nat)) N) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a822 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a823 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1) (tptp.zero_zero tptp.nat)) (or (= Ma (tptp.zero_zero tptp.nat)) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a824 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1)) (or (= Ma N_1) (= K (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a825 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) K)) (or (= Ma N_1) (= K (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a826 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) J_2)) I_1)))))
% 22.01/22.24 (assume a827 (forall ((J_2 $$unsorted) (I_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) I_1)) I_1)))))
% 22.01/22.24 (assume a828 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a829 (forall ((M $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) M))))))
% 22.01/22.24 (assume a830 (forall ((M $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) J_2))))))
% 22.01/22.24 (assume a831 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) K_4))))))
% 22.01/22.24 (assume a832 (forall ((K_4 $$unsorted) (L_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_4) L_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) L_4)))))))
% 22.01/22.24 (assume a833 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted) (L_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_4) L_4)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) L_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))))))
% 22.01/22.24 (assume a834 (forall ((I_1 $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) J_2)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) K_4)))))
% 22.01/22.24 (assume a835 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (not (= Ma N_1))))))
% 22.01/22.24 (assume a836 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (= Ma N_1)))))
% 22.01/22.24 (assume a837 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)))))
% 22.01/22.24 (assume a838 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (=> (not (= M N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))))))
% 22.01/22.24 (assume a839 (forall ((M $$unsorted) (N $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= M N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)))))
% 22.01/22.24 (assume a840 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a841 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)))))
% 22.01/22.24 (assume a842 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) M)))))
% 22.01/22.24 (assume a843 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (exists ((K_1 $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K_1))))))
% 22.01/22.24 (assume a844 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a845 (forall ((M $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) M))))))
% 22.01/22.24 (assume a846 (forall ((M $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) J_2))))))
% 22.01/22.24 (assume a847 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) K_4))))))
% 22.01/22.24 (assume a848 (forall ((K_4 $$unsorted) (L_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) L_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) L_4)))))))
% 22.01/22.24 (assume a849 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_4)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) N)))))
% 22.01/22.24 (assume a850 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_4)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)))))
% 22.01/22.24 (assume a851 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_4)) N)) (not (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) N))))))))
% 22.01/22.24 (assume a852 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)))))
% 22.01/22.24 (assume a853 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) K_4)))))
% 22.01/22.24 (assume a854 (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) M)))))
% 22.01/22.24 (assume a855 (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) M))))))
% 22.01/22.24 (assume a856 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) K_4))))))
% 22.01/22.24 (assume a857 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) I_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) J_2))))))
% 22.01/22.24 (assume a858 (forall ((K_4 $$unsorted) (L_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) L_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) L_4)))))))
% 22.01/22.24 (assume a859 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.one_one tptp.nat)) N) N)))
% 22.01/22.24 (assume a860 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.one_one tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1)) (and (= Ma (tptp.one_one tptp.nat)) (= N_1 (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a861 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) (tptp.one_one tptp.nat)) N)))
% 22.01/22.24 (assume a862 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1) (tptp.one_one tptp.nat)) (and (= Ma (tptp.one_one tptp.nat)) (= N_1 (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a863 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) Y)))))))
% 22.01/22.24 (assume a864 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) B))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a865 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a866 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))))
% 22.01/22.24 (assume a867 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))))
% 22.01/22.24 (assume a868 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a869 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) K))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a870 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) K_4)))))))
% 22.01/22.24 (assume a871 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) I_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) J_2)))))))
% 22.01/22.24 (assume a872 (forall ((M $$unsorted) (N $$unsorted)) (=> (= M (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) (or (= N (tptp.one_one tptp.nat)) (= M (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a873 (forall ((Ma $$unsorted) (Ta $$unsorted) (K $$unsorted)) (=> (not (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Ma) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) Ma)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) Ta)))))))
% 22.01/22.24 (assume a874 (forall ((X_a $$unsorted)) (=> (and (tptp.dvd X_a) (tptp.semiring_0 X_a)) (forall ((P_1 $$unsorted) (L $$unsorted)) (= (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) L) X_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) L) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_2)))))))))
% 22.01/22.24 (assume a875 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.pls))))
% 22.01/22.24 (assume a876 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a877 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) K))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a878 (forall ((N $$unsorted)) (or (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) N) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) N) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)))))
% 22.01/22.24 (assume a879 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre A_1) P_5) (tptp.zero_zero tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre A_1) P_5) (tptp.one_one tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) A_1))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre A_1) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))))))
% 22.01/22.24 (assume a880 (forall ((Ma $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes Ma) X_1)) (exists ((Y_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Y_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) Ma))))))
% 22.01/22.24 (assume a881 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) Y)))))
% 22.01/22.24 (assume a882 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) M)) (or (= M (tptp.zero_zero tptp.nat)) (= M N) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) M))))))
% 22.01/22.24 (assume a883 (forall ((K $$unsorted) (P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_1)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_1))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) D_1)))))))))))
% 22.01/22.24 (assume a884 (forall ((N_1 $$unsorted) (P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_1)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_1) N_1)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_2) K_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_1) (tptp.one_one tptp.nat))))))))))
% 22.01/22.24 (assume a885 (forall ((K $$unsorted) (P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_1)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_1))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) D_1)))))))))))
% 22.01/22.24 (assume a886 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.24 (assume a887 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real)) (and (= X_1 (tptp.zero_zero tptp.real)) (= Y_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a888 (forall ((A_1 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) X_2) M)) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y_2) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) Y_2) M))) (= (tptp.ti tptp.int Y_2) (tptp.ti tptp.int X_2)))))))))
% 22.01/22.24 (assume a889 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) X))))
% 22.01/22.24 (assume a890 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) Y_1)) (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a891 (forall ((X $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) X)))))))
% 22.01/22.24 (assume a892 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= X_1 Y_1) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1))))))
% 22.01/22.24 (assume a893 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (or (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))) (= X_1 Y_1)))))
% 22.01/22.24 (assume a894 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (= X_1 Y_1))))))
% 22.01/22.24 (assume a895 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))))))
% 22.01/22.24 (assume a896 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1))) (= X_1 Y_1))))
% 22.01/22.24 (assume a897 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= A_1 B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) A_1))))))))
% 22.01/22.24 (assume a898 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= X Y) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)))))
% 22.01/22.24 (assume a899 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (= X_1 Y_1)))))
% 22.01/22.24 (assume a900 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (or (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (= X Y)))))
% 22.01/22.24 (assume a901 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (=> (not (= A_1 B)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) A_1))))))))
% 22.01/22.24 (assume a902 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) C)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) C))))))
% 22.01/22.24 (assume a903 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (=> (= B C) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) C))))))
% 22.01/22.24 (assume a904 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) M)) (= M N)))))
% 22.01/22.24 (assume a905 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)) (= X Y)))))
% 22.01/22.24 (assume a906 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Z_1))))))
% 22.01/22.24 (assume a907 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)))))))
% 22.01/22.24 (assume a908 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= A_1 B) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) C)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) C) B)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) C)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) C) A_1))))))))
% 22.01/22.24 (assume a909 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) Z_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Z_1) Y)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Z_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Z_1) X))))))))
% 22.01/22.24 (assume a910 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (= X Y)))))
% 22.01/22.24 (assume a911 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y))))))))
% 22.01/22.24 (assume a912 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)))))
% 22.01/22.24 (assume a913 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y))))))))
% 22.01/22.24 (assume a914 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (= X Y)))))
% 22.01/22.24 (assume a915 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (= Y X)))))
% 22.01/22.24 (assume a916 (forall ((P_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)))) (tptp.hBOOL P_1)))))
% 22.01/22.24 (assume a917 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) A_1)))) (=> (= B C) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) C)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) C) A_1))))))))
% 22.01/22.24 (assume a918 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) Z_1)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Z_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Z_1) X))))))))
% 22.01/22.24 (assume a919 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) A_1)))) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) A_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B))))))))
% 22.01/22.24 (assume a920 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) Z_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Z_1) Y)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Z_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Z_1) X))))))))
% 22.01/22.24 (assume a921 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)))) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y))))))))
% 22.01/22.24 (assume a922 (not (= (tptp.zero_zero tptp.real) (tptp.one_one tptp.real))))
% 22.01/22.24 (assume a923 (forall ((Z_1 $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Z_1) W)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) W) Z_1)) (= Z_1 W)))))
% 22.01/22.24 (assume a924 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) J_2) K_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) I_1) K_4))))))
% 22.01/22.24 (assume a925 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Z_1) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Z_1) Y))))))
% 22.01/22.24 (assume a926 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)) (or (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)) (= X_1 Y_1)))))
% 22.01/22.24 (assume a927 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)) (not (= X_1 Y_1))))))
% 22.01/22.24 (assume a928 (forall ((Z_1 $$unsorted) (W $$unsorted)) (or (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Z_1) W)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) W) Z_1)))))
% 22.01/22.24 (assume a929 (forall ((W $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) W) W))))
% 22.01/22.24 (assume a930 (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N) (tptp.zero_zero tptp.nat)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) M) (tptp.zero_zero tptp.nat)) (= M N)))))
% 22.01/22.24 (assume a931 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) M) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a932 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.zero_zero tptp.nat)) M)))
% 22.01/22.24 (assume a933 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.zero_zero tptp.nat)) N) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a934 (forall ((L_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) L_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) L_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) L_4) M)))))))
% 22.01/22.24 (assume a935 (forall ((N $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_2) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) N)) K_4)))))
% 22.01/22.24 (assume a936 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))
% 22.01/22.24 (assume a937 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))
% 22.01/22.24 (assume a938 (forall ((I_1 $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) J_2)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) K_4)))))
% 22.01/22.24 (assume a939 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) M)) N) M)))
% 22.01/22.24 (assume a940 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) N) M)))
% 22.01/22.24 (assume a941 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) M))))
% 22.01/22.24 (assume a942 (forall ((L_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) L_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) L_4) M))))))
% 22.01/22.24 (assume a943 (forall ((L_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) L_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) L_4))))))
% 22.01/22.24 (assume a944 (forall ((I_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) I_1)) I_1))))
% 22.01/22.24 (assume a945 (forall ((N_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) N_1)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) K)) (= Ma N_1))))))
% 22.01/22.24 (assume a946 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))))
% 22.01/22.24 (assume a947 (forall ((N_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) K))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))))
% 22.01/22.24 (assume a948 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M)))))))
% 22.01/22.24 (assume a949 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)))))))
% 22.01/22.24 (assume a950 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) K_4)))))
% 22.01/22.24 (assume a951 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)))))
% 22.01/22.24 (assume a952 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) M))))))
% 22.01/22.24 (assume a953 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a954 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) M)) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a955 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a956 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) N_1) (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a957 (forall ((M $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) M))))
% 22.01/22.24 (assume a958 (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) K))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K)) J)))))
% 22.01/22.24 (assume a959 (forall ((N_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) K))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))))
% 22.01/22.24 (assume a960 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) C) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) B) C)))))))
% 22.01/22.24 (assume a961 (forall ((I_1 $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) I_1)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4)) I_1)))))
% 22.01/22.24 (assume a962 (forall ((I_1 $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4)) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J_2) I_1)) K_4)))))
% 22.01/22.24 (assume a963 (forall ((I_1 $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) J_2)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4))))))
% 22.01/22.24 (assume a964 (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) I) K) (= J (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) I))))))
% 22.01/22.24 (assume a965 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N) M))))
% 22.01/22.24 (assume a966 (forall ((I $$unsorted) (K $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) J)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) K))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K)) J))))))
% 22.01/22.24 (assume a967 (forall ((I_1 $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) J_2)) K_4)))))
% 22.01/22.24 (assume a968 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) M))))
% 22.01/22.24 (assume a969 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) M)) K_4))))))
% 22.01/22.24 (assume a970 (forall ((J $$unsorted) (K $$unsorted) (I $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) K)) I)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K))))))
% 22.01/22.24 (assume a971 (forall ((I_1 $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_4)) J_2)))))
% 22.01/22.24 (assume a972 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) A_2) B_1))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) A_2) B_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (forall ((D_3 $$unsorted)) (=> (= A_2 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) B_1) D_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 D_3))))))))
% 22.01/22.24 (assume a973 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) A_2) B_1))) (not (or (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) A_2) B_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat))))) (exists ((D_3 $$unsorted)) (and (= A_2 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) B_1) D_3)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 D_3))))))))))
% 22.01/22.24 (assume a974 (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) B))))))
% 22.01/22.24 (assume a975 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.one_one tptp.real)) Z_1) Z_1)))
% 22.01/22.24 (assume a976 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z_1) W) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) W) Z_1))))
% 22.01/22.24 (assume a977 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (Z3 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z1) Z2)) Z3) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z2) Z3)))))
% 22.01/22.24 (assume a978 (forall ((Z1 $$unsorted) (Z2 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Z1) Z2)) W) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z1) W)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z2) W)))))
% 22.01/22.24 (assume a979 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X_1) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y_1) Y_1)) (tptp.zero_zero tptp.real)) (and (= X_1 (tptp.zero_zero tptp.real)) (= Y_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a980 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (not (= C_1 (tptp.zero_zero tptp.real))) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_2) C_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) B_1) C_1)) (= A_2 B_1)))))
% 22.01/22.24 (assume a981 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (not (= C_1 (tptp.zero_zero tptp.real))) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C_1) A_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C_1) B_1)) (= A_2 B_1)))))
% 22.01/22.24 (assume a982 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Z)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X_1) Z)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y_1) Z))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1))))))
% 22.01/22.24 (assume a983 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)))))))
% 22.01/22.24 (assume a984 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Z_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z_1) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z_1) Y)))))))
% 22.01/22.24 (assume a985 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Z)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Z) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1))))))
% 22.01/22.24 (assume a986 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Z)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X_1) Z)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y_1) Z))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1))))))
% 22.01/22.24 (assume a987 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) C) A_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) C) B))))))
% 22.01/22.24 (assume a988 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) C))))))
% 22.01/22.24 (assume a989 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat)))) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)))))))
% 22.01/22.24 (assume a990 (forall ((N $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y) N))))))
% 22.01/22.24 (assume a991 (forall ((N $$unsorted) (M $$unsorted)) (and (=> (= M (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N) (tptp.zero_zero tptp.nat))) (=> (not (= M (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat))) N)))))))
% 22.01/22.24 (assume a992 (forall ((P_5 $$unsorted) (M $$unsorted)) (and (=> (= M (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) M) (tptp.one_one tptp.nat))) (=> (not (= M (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat)))))))))
% 22.01/22.24 (assume a993 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) X) Y)))))
% 22.01/22.24 (assume a994 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted) (D $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) C) D)))))))
% 22.01/22.24 (assume a995 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B)) (or (= B (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) A_1) B))))))
% 22.01/22.24 (assume a996 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) K))) (or (= K (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a997 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Ma) (tptp.one_one tptp.nat)) (and (= N_1 (tptp.one_one tptp.nat)) (= Ma (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a998 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Ma) N_1) (tptp.zero_zero tptp.nat)) (and (not (= N_1 (tptp.zero_zero tptp.nat))) (= Ma (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a999 (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B) N))) (=> (not (= N (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) B))))))
% 22.01/22.24 (assume a1000 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N)) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y))))))
% 22.01/22.24 (assume a1001 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((X $$unsorted) (Y $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) A_1)) B)))))))
% 22.01/22.24 (assume a1002 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) N_1) (tptp.one_one tptp.nat)) (or (= X_1 (tptp.one_one tptp.nat)) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a1003 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X)) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.one_one X_a))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.one_one X_a))))))))
% 22.01/22.24 (assume a1004 (forall ((X $$unsorted) (Q_3 $$unsorted) (N $$unsorted) (R_4 $$unsorted)) (=> (= X (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Q_3) N)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) R_4) N)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) X))))))))
% 22.01/22.24 (assume a1005 (forall ((A_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_2)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_2) N) A_1) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_2)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_2) N) A_1)) (= Y_2 X_2)))))))))
% 22.01/22.24 (assume a1006 (forall ((A_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (exists ((R_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) R_2) N) A_1)))))))
% 22.01/22.24 (assume a1007 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (forall ((M $$unsorted) (N $$unsorted)) (and (=> (= N (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) M) N) (tptp.one_one X_a))) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) M) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) M) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat)))))))))))
% 22.01/22.24 (assume a1008 (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int tptp.twoSqu1094008024sum2sq (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) tptp.s) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))
% 22.01/22.24 (assume a1009 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)))))
% 22.01/22.24 (assume a1010 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (J $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J) I)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I) J)) U_1)) Ma)) N_1))))))
% 22.01/22.24 (assume a1011 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) I)) U_1)) N_1)))))))
% 22.01/22.24 (assume a1012 (forall ((Ma $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a1013 (forall ((Ma $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a1014 (forall ((I_1 $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) J_2)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) K_4)) J_2))))
% 22.01/22.24 (assume a1015 (forall ((A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int tptp.twoSqu1094008024sum2sq (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_1) B))) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int tptp.twoSqu1094008024sum2sq (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3))) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int tptp.twoSqu1094008024sum2sq (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) Q_3)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) P_5)))))))
% 22.01/22.24 (assume a1016 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1)) (or (= K (tptp.zero_zero tptp.nat)) (= Ma N_1)))))
% 22.01/22.24 (assume a1017 (forall ((I_1 $$unsorted) (U $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) U)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) U)) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) J_2)) U)) K_4))))
% 22.01/22.24 (assume a1018 (forall ((Ma $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1)) (= Ma N_1)))))
% 22.01/22.24 (assume a1019 (forall ((Ma $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a1020 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) N_1))) (or (= K (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a1021 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1)) (= Ma (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) I)) U_1)) N_1))))))
% 22.01/22.24 (assume a1022 (forall ((U $$unsorted) (M $$unsorted) (N $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_1) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) U)) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) U)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) I_1)) U)) N))))))
% 22.01/22.24 (assume a1023 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J) I)) U_1)) N_1)))))))
% 22.01/22.24 (assume a1024 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (J $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J) I)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I) J)) U_1)) Ma) N_1)))))
% 22.01/22.24 (assume a1025 (forall ((U $$unsorted) (M $$unsorted) (N $$unsorted) (J_2 $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J_2) I_1)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I_1) U)) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J_2) U)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I_1) J_2)) U)) M)) N)))))
% 22.01/22.24 (assume a1026 (forall ((U_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted) (J $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) J) I)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) I) U_1)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) J) U_1)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) I) J)) U_1)) Ma)) N_1))))))
% 22.01/22.24 (assume a1027 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.twoSqu1091635170sum2sq X_1)) (exists ((A_4 $$unsorted) (B_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int tptp.twoSqu1094008024sum2sq (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_4) B_4)) (tptp.ti tptp.int X_1))))))
% 22.01/22.24 (assume a1028 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int tptp.zfact (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) P_5)))))
% 22.01/22.24 (assume a1029 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)))))))))
% 22.01/22.24 (assume a1030 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)))))))))
% 22.01/22.24 (assume a1031 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)))))))))
% 22.01/22.24 (assume a1032 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)))))))))
% 22.01/22.24 (assume a1033 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1034 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1035 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) P_5)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1)) (tptp.ti tptp.int A_1))))))))
% 22.01/22.24 (assume a1036 (forall ((X_a $$unsorted)) (=> (tptp.zero X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.ti X_a X_1)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1037 (forall ((X_a $$unsorted)) (=> (tptp.ab_semigroup_mult X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)))))))
% 22.01/22.24 (assume a1038 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1)) (= (tptp.ti X_a B) (tptp.ti X_a C)))))))
% 22.01/22.24 (assume a1039 (forall ((X_a $$unsorted)) (=> (tptp.cancel146912293up_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (= (tptp.ti X_a B) (tptp.ti X_a C)))))))
% 22.01/22.24 (assume a1040 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (= (tptp.ti X_a B) (tptp.ti X_a C)))))))
% 22.01/22.24 (assume a1041 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C_1) A_2)) (= (tptp.ti X_a B_1) (tptp.ti X_a C_1)))))))
% 22.01/22.24 (assume a1042 (forall ((X_a $$unsorted)) (=> (tptp.cancel_semigroup_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C_1)) (= (tptp.ti X_a B_1) (tptp.ti X_a C_1)))))))
% 22.01/22.24 (assume a1043 (forall ((X_a $$unsorted)) (=> (tptp.ab_semigroup_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C)))))))
% 22.01/22.24 (assume a1044 (forall ((X_a $$unsorted)) (=> (tptp.one X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.one_one X_a) (tptp.ti X_a X_1)) (= (tptp.ti X_a X_1) (tptp.one_one X_a)))))))
% 22.01/22.24 (assume a1045 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) C_1) D_1)) (= (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)) (= (tptp.ti X_a C_1) (tptp.ti X_a D_1))))))))
% 22.01/22.24 (assume a1046 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.zero_zero X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1047 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.zero_zero X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1048 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1049 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1050 (forall ((X_a $$unsorted)) (=> (tptp.monoid_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.zero_zero X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1051 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)))))))
% 22.01/22.24 (assume a1052 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)))))))
% 22.01/22.24 (assume a1053 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)))))))))
% 22.01/22.24 (assume a1054 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B))))))))
% 22.01/22.24 (assume a1055 (forall ((X_a $$unsorted)) (=> (tptp.ordere779506340up_add X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C))))))))
% 22.01/22.24 (assume a1056 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)))))))
% 22.01/22.24 (assume a1057 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)))))))
% 22.01/22.24 (assume a1058 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)))))))
% 22.01/22.24 (assume a1059 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)))))))
% 22.01/22.24 (assume a1060 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)))))))))
% 22.01/22.24 (assume a1061 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) B))))))))
% 22.01/22.24 (assume a1062 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) C))))))))
% 22.01/22.24 (assume a1063 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C_1) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))
% 22.01/22.24 (assume a1064 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))
% 22.01/22.24 (assume a1065 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)))))))
% 22.01/22.24 (assume a1066 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1067 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1068 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) (tptp.zero_zero X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1069 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) C_1) D_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) D_1))))))))
% 22.01/22.24 (assume a1070 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) C_1) D_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) D_1))))))))
% 22.01/22.24 (assume a1071 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.one_one X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1072 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.one_one X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1073 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.one_one X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1074 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.one_one X_a)) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1075 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1076 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1))))))))
% 22.01/22.24 (assume a1077 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1078 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1) (tptp.one_one tptp.int))))))))
% 22.01/22.24 (assume a1079 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (not (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1))))))))
% 22.01/22.24 (assume a1080 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) B) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1081 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) B) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1082 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1) (tptp.zero_zero tptp.int))))))))
% 22.01/22.24 (assume a1083 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1))) (tptp.one_one tptp.int)) P_5)))))))
% 22.01/22.24 (assume a1084 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1085 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)))))))))
% 22.01/22.24 (assume a1086 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (C $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)))))))))
% 22.01/22.24 (assume a1087 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) Y_1)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1) Y_1) (tptp.zero_zero X_a)) (and (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.24 (assume a1088 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)))))))))
% 22.01/22.24 (assume a1089 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1090 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.24 (assume a1091 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1092 (forall ((X_a $$unsorted)) (=> (tptp.ordere216010020id_add X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)))))))))
% 22.01/22.24 (assume a1093 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1094 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.24 (assume a1095 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)))))))))
% 22.01/22.24 (assume a1096 (forall ((X_a $$unsorted)) (=> (tptp.ordere223160158up_add X_a) (forall ((C $$unsorted) (D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) D)))))))))
% 22.01/22.24 (assume a1097 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1098 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1099 (forall ((N $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int tptp.zfact N) (tptp.one_one tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int tptp.zfact N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N) (tptp.hAPP tptp.int tptp.int tptp.zfact (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) N) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1100 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_4) B_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4)))))))))
% 22.01/22.24 (assume a1101 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_4) B_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4)))))))))))
% 22.01/22.24 (assume a1102 (forall ((J_2 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) A_1))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2))) P_5))))))))))
% 22.01/22.24 (assume a1103 (forall ((P_1 $$unsorted) (I $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_2) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) I_2) (tptp.one_one tptp.int))))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I)))))))
% 22.01/22.24 (assume a1104 (forall ((X_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_4) (tptp.one_one tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 A_4)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_1)))))
% 22.01/22.24 (assume a1105 (forall ((P_1 $$unsorted) (I $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K) (tptp.one_one tptp.int)))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_2) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) I_2) (tptp.one_one tptp.int))))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I)))))))
% 22.01/22.24 (assume a1106 (forall ((P_1 $$unsorted) (K $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) I)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) I_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_2) (tptp.one_one tptp.int))))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I)))))))
% 22.01/22.24 (assume a1107 (forall ((J_2 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) J_2) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) K_4)) P_5)))))
% 22.01/22.24 (assume a1108 (forall ((J_2 $$unsorted) (K_4 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) J_2) K_4)) A_1) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2)) J_2)) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2)) A_1)) P_5)))))
% 22.01/22.24 (assume a1109 (forall ((P_4 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))))))
% 22.01/22.24 (assume a1110 (forall ((B_1 $$unsorted) (P_4 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_2) (tptp.one_one tptp.int))) P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4)))))))
% 22.01/22.24 (assume a1111 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) B_1)))))))
% 22.01/22.24 (assume a1112 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1113 (forall ((B_1 $$unsorted) (P_4 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) A_2)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_2) (tptp.one_one tptp.int))) P_4)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (or (= (tptp.ti tptp.int B_1) (tptp.ti tptp.int A_2)) (= (tptp.ti tptp.int B_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_4) A_2))))))))
% 22.01/22.24 (assume a1114 (forall ((X $$unsorted) (Y $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) Y) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) Y)) P_5))))))
% 22.01/22.24 (assume a1115 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4)))))))))
% 22.01/22.24 (assume a1116 (forall ((A_1 $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) K_4) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) P_5))))))
% 22.01/22.24 (assume a1117 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)) (tptp.zero_zero tptp.int)) P_5))))))))
% 22.01/22.24 (assume a1118 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X))) X) P_5)))))))
% 22.01/22.24 (assume a1119 (forall ((Y $$unsorted) (X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong Y) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) Y)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) Y) P_5)))))))))
% 22.01/22.24 (assume a1120 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)))) P_5)))))))
% 22.01/22.24 (assume a1121 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)))) X) P_5)))))))
% 22.01/22.24 (assume a1122 (forall ((J_2 $$unsorted) (K_4 $$unsorted) (A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) K_4) P_5))))))))))
% 22.01/22.24 (assume a1123 (forall ((A_1 $$unsorted) (J_2 $$unsorted) (K_4 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2))) P_5)))))))))
% 22.01/22.24 (assume a1124 (forall ((J_2 $$unsorted) (A_1 $$unsorted) (K_4 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) J_2) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) K_4))) K_4)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) J_2) K_4)) A_1) P_5))))))))
% 22.01/22.24 (assume a1125 (forall ((K_4 $$unsorted) (A_1 $$unsorted) (J_2 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J_2) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2)) J_2)) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2)) A_1)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) J_2))) P_5))))))))
% 22.01/22.24 (assume a1126 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X))) (tptp.one_one tptp.int)) P_5)))))))
% 22.01/22.24 (assume a1127 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X)) X)) (tptp.one_one tptp.int)) P_5)))))))
% 22.01/22.24 (assume a1128 (forall ((P_1 $$unsorted) (K $$unsorted) (I $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) I)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K) (tptp.one_one tptp.int)))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) I_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_2) (tptp.one_one tptp.int))))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I)))))))
% 22.01/22.24 (assume a1129 (forall ((Ma $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat F M_2)) (tptp.hAPP tptp.nat tptp.nat F N_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat F Ma)) K)) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K)))))))
% 22.01/22.24 (assume a1130 (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_4)))))
% 22.01/22.24 (assume a1131 (forall ((N_1 $$unsorted) (P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_1)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_1) N_1)) (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) K_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 K_1))))))))
% 22.01/22.24 (assume a1132 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_1)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) K_1) J_2))))))
% 22.01/22.24 (assume a1133 (forall ((X_a $$unsorted)) (=> (and (tptp.plus X_a) (tptp.linorder X_a) (tptp.dvd X_a)) (forall ((D_1 $$unsorted) (Sa $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Z_2)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa)))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa))))))))))))
% 22.01/22.24 (assume a1134 (forall ((X_a $$unsorted)) (=> (and (tptp.plus X_a) (tptp.linorder X_a) (tptp.dvd X_a)) (forall ((D_1 $$unsorted) (Sa $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_2) X_2)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa)))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa))))))))))))
% 22.01/22.24 (assume a1135 (forall ((X_a $$unsorted)) (=> (and (tptp.plus X_a) (tptp.linorder X_a) (tptp.dvd X_a)) (forall ((D_1 $$unsorted) (Sa $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Z_2)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa)))))))))))
% 22.01/22.24 (assume a1136 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) B_1)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2)))))))
% 22.01/22.24 (assume a1137 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)))))
% 22.01/22.24 (assume a1138 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) B_1)))))
% 22.01/22.24 (assume a1139 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2)))))))
% 22.01/22.24 (assume a1140 (forall ((X_a $$unsorted)) (=> (and (tptp.plus X_a) (tptp.linorder X_a) (tptp.dvd X_a)) (forall ((D_1 $$unsorted) (Sa $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_2) X_2)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) D_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_2) Sa)))))))))))
% 22.01/22.24 (assume a1141 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (N_1 $$unsorted)) (=> (not (= N_1 (tptp.zero_zero tptp.nat))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_2) N_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B_1) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_2) B_1))))))
% 22.01/22.24 (assume a1142 (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) N))) (=> (not (= N (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_1) B))))))
% 22.01/22.24 (assume a1143 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (N_1 $$unsorted)) (=> (not (= N_1 (tptp.zero_zero tptp.nat))) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_2) N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B_1) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_2) B_1))))))
% 22.01/22.24 (assume a1144 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) N)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (= N (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a1145 (forall ((N $$unsorted) (M $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (= N M)))))
% 22.01/22.24 (assume a1146 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M))))))
% 22.01/22.24 (assume a1147 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) A_1)) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) B))))))))
% 22.01/22.24 (assume a1148 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.zero_zero X_a)) B) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1149 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.zero_zero X_a)) Y) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1150 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1151 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1152 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (B_5 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) B_5)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B_5)))))))
% 22.01/22.24 (assume a1153 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Xa_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) Y)))))))
% 22.01/22.24 (assume a1154 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (A_6 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) A_6)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_6) B)))))))
% 22.01/22.24 (assume a1155 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted) (Ya $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) Ya) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Ya)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Ya)))))))
% 22.01/22.24 (assume a1156 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted) (Ya $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) Ya) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Ya)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Ya)))))))
% 22.01/22.24 (assume a1157 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (A_6 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) A_6)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_6) B)))))))
% 22.01/22.24 (assume a1158 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Xa_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) Y)))))))
% 22.01/22.24 (assume a1159 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (B_5 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) B_5)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B_5)))))))
% 22.01/22.24 (assume a1160 (forall ((A_1 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.zero_zero tptp.nat)) A_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) (tptp.zero_zero tptp.nat))))))))
% 22.01/22.24 (assume a1161 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1162 (forall ((A_2 $$unsorted)) (= (not (= A_2 (tptp.zero_zero tptp.nat))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_2) (tptp.zero_zero tptp.nat))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.zero_zero tptp.nat)) A_2)))))))
% 22.01/22.24 (assume a1163 (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.zero_zero tptp.nat)) A_2)) (= A_2 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1164 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.zero_zero tptp.nat)) A_1)) (= A_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1165 (forall ((A_1 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) (tptp.one_one tptp.nat))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.one_one tptp.nat)) A_1)))))))
% 22.01/22.24 (assume a1166 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.one_one tptp.nat)) A_1))))
% 22.01/22.24 (assume a1167 (forall ((A_2 $$unsorted)) (= (not (= A_2 (tptp.one_one tptp.nat))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.one_one tptp.nat)) A_2)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_2) (tptp.one_one tptp.nat))))))))
% 22.01/22.24 (assume a1168 (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_2) (tptp.one_one tptp.nat))) (= A_2 (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a1169 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) (tptp.one_one tptp.nat))) (= A_1 (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a1170 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sr P_4) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) P_4))))))
% 22.01/22.24 (assume a1171 (forall ((V $$unsorted) (W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (tptp.one_one tptp.int)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a1172 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) B) (tptp.one_one tptp.int))) A_1))) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1173 (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes M) X)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes M) Y))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)) M)))))
% 22.01/22.24 (assume a1174 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))))))))))
% 22.01/22.24 (assume a1175 (forall ((X_1 $$unsorted) (K $$unsorted)) (=> (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) K)) (tptp.one_one tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)))))
% 22.01/22.24 (assume a1176 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) A_1)))))))
% 22.01/22.24 (assume a1177 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) A_1)))))
% 22.01/22.24 (assume a1178 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))))))
% 22.01/22.24 (assume a1179 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) B) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1180 (forall ((A_1 $$unsorted)) (and (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.zero_zero tptp.int)) (tptp.ti tptp.int A_1)))))
% 22.01/22.24 (assume a1181 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) B) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1182 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sr P_4))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) X_1) (tptp.ti tptp.int X_1)))))
% 22.01/22.24 (assume a1183 (forall ((M $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes M) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M))))
% 22.01/22.24 (assume a1184 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) C))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) C))) C)))))
% 22.01/22.24 (assume a1185 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) B)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1186 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1187 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1188 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C))))))
% 22.01/22.24 (assume a1189 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) C))))))
% 22.01/22.24 (assume a1190 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)))))
% 22.01/22.24 (assume a1191 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) C))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) C))) C)))))
% 22.01/22.24 (assume a1192 (forall ((B $$unsorted) (A_1 $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) K_4))))
% 22.01/22.24 (assume a1193 (forall ((A_1 $$unsorted) (B $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) K_4))))
% 22.01/22.24 (assume a1194 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) M) N)) N)))))
% 22.01/22.24 (assume a1195 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N)))))
% 22.01/22.24 (assume a1196 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1197 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) (tptp.zero_zero X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1198 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.zero_zero X_a)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1199 (forall ((L_4 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K_4) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) L_4)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg K_4) L_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) K_4) L_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) L_4)))))))
% 22.01/22.24 (assume a1200 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1201 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) B)) C))))))
% 22.01/22.24 (assume a1202 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1203 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)))))))
% 22.01/22.24 (assume a1204 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) C))))))
% 22.01/22.24 (assume a1205 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C))))))
% 22.01/22.24 (assume a1206 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (B_5 $$unsorted) (A_1 $$unsorted) (C $$unsorted) (A_6 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_6) C)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B_5) C)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_6) B_5)) C))))))))
% 22.01/22.24 (assume a1207 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (B_5 $$unsorted) (A_1 $$unsorted) (C $$unsorted) (A_6 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_6) C)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B_5) C)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_6) B_5)) C))))))))
% 22.01/22.24 (assume a1208 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C))))))
% 22.01/22.24 (assume a1209 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C))))))
% 22.01/22.24 (assume a1210 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1211 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) B)) C))))))
% 22.01/22.24 (assume a1212 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1213 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))))))
% 22.01/22.24 (assume a1214 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))))))
% 22.01/22.24 (assume a1215 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((B $$unsorted) (B_5 $$unsorted) (A_1 $$unsorted) (C $$unsorted) (A_6 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_6) C)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B_5) C)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_6) B_5)) C))))))))
% 22.01/22.24 (assume a1216 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1217 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)) B)) C))))))
% 22.01/22.24 (assume a1218 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) C))) C))))))
% 22.01/22.24 (assume a1219 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K) N_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) Ma) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K) Ma))))))))
% 22.01/22.24 (assume a1220 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) C) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) C)))))))
% 22.01/22.24 (assume a1221 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) M) N)))))))))
% 22.01/22.24 (assume a1222 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) M) N))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) K_4) M))))))))
% 22.01/22.24 (assume a1223 (forall ((B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.zero_zero tptp.int)) B) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1224 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) A_1) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1225 (forall ((B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.zero_zero tptp.int)) B) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1226 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) C))) C))))
% 22.01/22.24 (assume a1227 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) C))) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) C))))
% 22.01/22.24 (assume a1228 (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M)) Y)) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Y)) M))))
% 22.01/22.24 (assume a1229 (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Y) M))) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Y)) M))))
% 22.01/22.24 (assume a1230 (forall ((X $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M)) M))))
% 22.01/22.24 (assume a1231 (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Y) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) Y) M)))))
% 22.01/22.24 (assume a1232 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_2) Ma)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B_1) Ma)) Ma)))))
% 22.01/22.24 (assume a1233 (forall ((N $$unsorted) (F_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) F_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) F_4) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) F_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N)))))))
% 22.01/22.24 (assume a1234 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M))))))
% 22.01/22.24 (assume a1235 (forall ((X $$unsorted) (M $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M)) Y)) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) Y)) M))))
% 22.01/22.24 (assume a1236 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1237 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.zero_zero X_a)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1238 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) (tptp.one_one X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1239 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B_1) A_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) C_1) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) B_1) C_1)))))))))
% 22.01/22.24 (assume a1240 (forall ((R_4 $$unsorted) (S_3 $$unsorted) (T_5 $$unsorted) (R_5 $$unsorted) (S_4 $$unsorted) (M $$unsorted) (T_6 $$unsorted) (N $$unsorted)) (=> (= (tptp.ti tptp.int R_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_6) N))) (=> (= (tptp.ti tptp.int R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_3) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_5) N))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) R_5) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) S_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) R_5) R_4)) S_3))) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) T_6) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) R_5) R_4)) T_5))) N)))))))
% 22.01/22.24 (assume a1241 (forall ((A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) A_1) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) M)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B) M))))))
% 22.01/22.24 (assume a1242 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1)) tptp.zOdd))))))
% 22.01/22.24 (assume a1243 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1)) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)))))
% 22.01/22.24 (assume a1244 (forall ((X $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes M) X)) M))))
% 22.01/22.24 (assume a1245 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1)) B) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1246 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) B) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1247 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) (tptp.one_one X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1248 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) C))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))))))
% 22.01/22.24 (assume a1249 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B))) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))))))
% 22.01/22.24 (assume a1250 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))))))
% 22.01/22.24 (assume a1251 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B) A_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1252 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) B_1) A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1253 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1254 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) B_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_2))))))
% 22.01/22.24 (assume a1255 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) B_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1256 (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) A_1) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a1257 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1258 (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))
% 22.01/22.24 (assume a1259 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))))))
% 22.01/22.24 (assume a1260 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) B)))))
% 22.01/22.24 (assume a1261 (forall ((K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) K_4)) M)))))
% 22.01/22.24 (assume a1262 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1263 (forall ((Ma $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Ma) D_1) (tptp.zero_zero tptp.int)) (exists ((Q_4 $$unsorted)) (= (tptp.ti tptp.int Ma) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) D_1) Q_4))))))
% 22.01/22.24 (assume a1264 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N) M)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) M) N)) (tptp.ti tptp.int M)))))
% 22.01/22.24 (assume a1265 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X_1) N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Y_1) N_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1))))))
% 22.01/22.24 (assume a1266 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)))))))
% 22.01/22.24 (assume a1267 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)))))))
% 22.01/22.24 (assume a1268 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) A_1)) B) (tptp.ti X_a A_1)))))))
% 22.01/22.24 (assume a1269 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) B) (tptp.ti X_a A_1)))))))
% 22.01/22.24 (assume a1270 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (and (=> (= (tptp.ti X_a C) (tptp.zero_zero X_a)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B))))))))
% 22.01/22.24 (assume a1271 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) A_1) (tptp.one_one X_a)))))))
% 22.01/22.24 (assume a1272 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((Z_1 $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Z_1) W)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Z_1)))))))))
% 22.01/22.24 (assume a1273 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B) A_1)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)) A_1)))))))
% 22.01/22.24 (assume a1274 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B) A_1)) A_1) (tptp.ti X_a B)))))))
% 22.01/22.24 (assume a1275 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) C) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C)))))))
% 22.01/22.24 (assume a1276 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_1) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B) A_1)) (tptp.ti X_a B)))))))
% 22.01/22.24 (assume a1277 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((Y $$unsorted) (Z_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Z_1) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Z_1) Y)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) Y) Z_1)))))))))
% 22.01/22.24 (assume a1278 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((N $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Y) X)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) Y)) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) N))))))))
% 22.01/22.24 (assume a1279 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N_1) K)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) N_1) K))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) J_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 I_2) J_1))))))))
% 22.01/22.24 (assume a1280 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N_1) K)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) N_1) K))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) J_1) K)) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 I_2) J_1))))))))
% 22.01/22.24 (assume a1281 (forall ((X_a $$unsorted)) (=> (and (tptp.semiring_div X_a) (tptp.number X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1)) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a1282 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_5) X)) P_5)))))
% 22.01/22.24 (assume a1283 (forall ((Ma $$unsorted) (X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes Ma) X_1) (tptp.zero_zero tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_1) (tptp.zero_zero tptp.int)) Ma)))))
% 22.01/22.24 (assume a1284 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_1) (tptp.zero_zero tptp.int)) P_4))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) X_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1285 (forall ((K_4 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) K_4)) X))))))
% 22.01/22.24 (assume a1286 (forall ((B $$unsorted) (A_1 $$unsorted) (A_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) A_6)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_6) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)))))))
% 22.01/22.24 (assume a1287 (forall ((B $$unsorted) (A_1 $$unsorted) (A_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) A_6)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_6) B)))))))
% 22.01/22.24 (assume a1288 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1289 (forall ((B $$unsorted) (B_5 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_5) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))))))))
% 22.01/22.24 (assume a1290 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1291 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_2) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1292 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1293 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1294 (forall ((B $$unsorted) (B_5 $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_5) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B_5))))))))
% 22.01/22.24 (assume a1295 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)))))))
% 22.01/22.24 (assume a1296 (forall ((I $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) I) K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) I))))))
% 22.01/22.24 (assume a1297 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_2))))))
% 22.01/22.24 (assume a1298 (forall ((I $$unsorted) (K $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) I) K) (tptp.zero_zero tptp.int)) (or (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) I)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I) K))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) I)))))))
% 22.01/22.24 (assume a1299 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Y) Z_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Z_1)) Y))))))
% 22.01/22.24 (assume a1300 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) C)))))
% 22.01/22.24 (assume a1301 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.ti tptp.int A_1))))))
% 22.01/22.24 (assume a1302 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)))))))
% 22.01/22.24 (assume a1303 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1304 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.ti tptp.int A_1))))))
% 22.01/22.24 (assume a1305 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) B))))))
% 22.01/22.24 (assume a1306 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B))))))
% 22.01/22.24 (assume a1307 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_2) Ma) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) B_1) Ma))))))
% 22.01/22.24 (assume a1308 (forall ((A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) M))))))
% 22.01/22.24 (assume a1309 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1310 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) Y_1))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) Y_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) X_1)) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1311 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B))) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B))))))))
% 22.01/22.24 (assume a1312 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C))) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B))))))))
% 22.01/22.24 (assume a1313 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) (tptp.one_one X_a))))))))
% 22.01/22.24 (assume a1314 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) (tptp.one_one X_a))))))))
% 22.01/22.24 (assume a1315 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((D_1 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted)) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) C_1) D_1)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B_1) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) D_1) C_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) C_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) D_1)))))))))))
% 22.01/22.24 (assume a1316 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((C_1 $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) A_2) B_1)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) B_1) A_2) (tptp.ti X_a C_1)) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2)))))))))
% 22.01/22.24 (assume a1317 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y))) X)))))
% 22.01/22.24 (assume a1318 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X_1) N_1)) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd))))))
% 22.01/22.24 (assume a1319 (forall ((B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) B) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)))))
% 22.01/22.24 (assume a1320 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B))))))
% 22.01/22.24 (assume a1321 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_5) X))))))
% 22.01/22.24 (assume a1322 (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) P_4) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1323 (forall ((X1_2 $$unsorted) (X2_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes Ma) X1_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes Ma) X2_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X1_2) X2_2) Ma))))))
% 22.01/22.24 (assume a1324 (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))))))
% 22.01/22.24 (assume a1325 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Y) Z_1)) Z_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Z_1)) Y))))))
% 22.01/22.24 (assume a1326 (forall ((A_9 $$unsorted) (B_8 $$unsorted) (Y $$unsorted) (R_6 $$unsorted)) (=> (= (tptp.ti tptp.int A_9) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_8) Y)) R_6)) (=> (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_8)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_6)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_6) B_8)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_8))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_8) R_6)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_6) (tptp.zero_zero tptp.int)))))) (=> (not (= (tptp.ti tptp.int B_8) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_9) B_8) (tptp.ti tptp.int Y)))))))
% 22.01/22.24 (assume a1327 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N_1) K))) (and (=> (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.zero_zero tptp.int)))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) J_1) K)) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) J_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)))))))))
% 22.01/22.24 (assume a1328 (forall ((A_9 $$unsorted) (B_8 $$unsorted) (Q_6 $$unsorted) (Y $$unsorted)) (=> (= (tptp.ti tptp.int A_9) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_8) Q_6)) Y)) (=> (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_8)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y) B_8)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_8))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_8) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y) (tptp.zero_zero tptp.int)))))) (=> (not (= (tptp.ti tptp.int B_8) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_9) B_8) (tptp.ti tptp.int Y)))))))
% 22.01/22.24 (assume a1329 (forall ((Q_3 $$unsorted) (B $$unsorted) (R_4 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Q_3) C))) R_4)) (tptp.zero_zero tptp.int))))))))
% 22.01/22.24 (assume a1330 (forall ((Q_3 $$unsorted) (B $$unsorted) (R_4 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Q_3) C))) R_4))))))))
% 22.01/22.24 (assume a1331 (forall ((Q_3 $$unsorted) (B $$unsorted) (R_4 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Q_3) C))) R_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C))))))))
% 22.01/22.24 (assume a1332 (forall ((Q_3 $$unsorted) (B $$unsorted) (R_4 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Q_3) C))) R_4))))))))
% 22.01/22.24 (assume a1333 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) N_1) K))) (and (=> (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 N_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K)) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) J_1) K)) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 J_1))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) J_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int N_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) I_2)) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 J_1)))))))))
% 22.01/22.24 (assume a1334 (forall ((X_1 $$unsorted)) (= (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a1335 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))))
% 22.01/22.24 (assume a1336 (forall ((B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1337 (forall ((V $$unsorted) (W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 V))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))))
% 22.01/22.24 (assume a1338 (forall ((B $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1339 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (=> (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)))) (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))))))))
% 22.01/22.24 (assume a1340 (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) P_4) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4))))))
% 22.01/22.24 (assume a1341 (forall ((W $$unsorted) (V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))))))))
% 22.01/22.24 (assume a1342 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B)))))))))
% 22.01/22.24 (assume a1343 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) B) (tptp.one_one tptp.int))) A_1)))))
% 22.01/22.24 (assume a1344 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (not (forall ((K_1 $$unsorted)) (not (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) K_1)) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1345 (forall ((X_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_4) X_1)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4)))))))))
% 22.01/22.24 (assume a1346 (forall ((X_a $$unsorted)) (=> (tptp.semiring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.ti X_a A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) A_1) B)) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B)))))))
% 22.01/22.24 (assume a1347 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) A_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int tptp.zfact (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) P_5))))))))
% 22.01/22.24 (assume a1348 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) X))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) P_5))))))))
% 22.01/22.24 (assume a1349 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (=> (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) A_1))) (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B))))))))
% 22.01/22.24 (assume a1350 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))))))))))
% 22.01/22.24 (assume a1351 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X) (tptp.zero_zero tptp.int)) P_5))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_5) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.one_one tptp.int)) P_5))))))))
% 22.01/22.24 (assume a1352 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_1) B)) C) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) B) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) B) C))) C)))))
% 22.01/22.24 (assume a1353 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (P_1 $$unsorted)) (and (=> (tptp.hBOOL P_1) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) P_1) X_1) Y_1)))) (=> (not (tptp.hBOOL P_1)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) P_1) X_1) Y_1)))))))
% 22.01/22.24 (assume a1354 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) B)) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) A_1) B)))))
% 22.01/22.24 (assume a1355 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)) C) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) B) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) B) C))) C)))))
% 22.01/22.24 (assume a1356 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)))))
% 22.01/22.24 (assume a1357 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)))))
% 22.01/22.24 (assume a1358 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) N)))))
% 22.01/22.24 (assume a1359 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) K_4))))))
% 22.01/22.24 (assume a1360 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) M))))
% 22.01/22.24 (assume a1361 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) M))))
% 22.01/22.24 (assume a1362 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) B)) C))))
% 22.01/22.24 (assume a1363 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) M))))
% 22.01/22.24 (assume a1364 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)))))
% 22.01/22.24 (assume a1365 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) K_4)))))
% 22.01/22.24 (assume a1366 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y))))))
% 22.01/22.24 (assume a1367 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1368 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)))))))
% 22.01/22.24 (assume a1369 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1370 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1371 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (and (=> (= K_4 (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)) (tptp.zero_zero tptp.nat))) (=> (not (= K_4 (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N))))))
% 22.01/22.24 (assume a1372 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) X_1) (tptp.ti tptp.int X_1)))))
% 22.01/22.24 (assume a1373 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) N)))))
% 22.01/22.24 (assume a1374 (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1375 (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.nat)))
% 22.01/22.24 (assume a1376 (forall ((Ma $$unsorted) (D_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Ma) D_1) (tptp.zero_zero tptp.nat)) (exists ((Q_4 $$unsorted)) (= Ma (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) D_1) Q_4))))))
% 22.01/22.24 (assume a1377 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (= (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1)) (= (tptp.ti tptp.int X_1) (tptp.ti tptp.int Y_1)))))))
% 22.01/22.24 (assume a1378 (forall ((P_1 $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X1))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_2))))))))
% 22.01/22.24 (assume a1379 (forall ((P_1 $$unsorted)) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_2))))))))
% 22.01/22.24 (assume a1380 (forall ((Z_3 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_3)) (= (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_3)) (= (tptp.ti tptp.int Z) (tptp.ti tptp.int Z_3)))))))
% 22.01/22.24 (assume a1381 (forall ((M $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N)))))
% 22.01/22.24 (assume a1382 (forall ((M $$unsorted) (N $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) M)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N))))))
% 22.01/22.24 (assume a1383 (forall ((K_4 $$unsorted) (N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)) M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N))))
% 22.01/22.24 (assume a1384 (forall ((V $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))))
% 22.01/22.24 (assume a1385 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))
% 22.01/22.24 (assume a1386 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N)))))
% 22.01/22.24 (assume a1387 (= (tptp.one_one tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.one_one tptp.int))))
% 22.01/22.24 (assume a1388 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sr P_4))))))
% 22.01/22.24 (assume a1389 (forall ((K_4 $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) K_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) K_4) M)))))))
% 22.01/22.24 (assume a1390 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)))))
% 22.01/22.24 (assume a1391 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) N) M))))
% 22.01/22.24 (assume a1392 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) M)) N) M))))
% 22.01/22.24 (assume a1393 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) M))))))
% 22.01/22.24 (assume a1394 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) N)))))
% 22.01/22.24 (assume a1395 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1396 (forall ((I $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 I) (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1397 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z))))))
% 22.01/22.24 (assume a1398 (forall ((W_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z))))))
% 22.01/22.24 (assume a1399 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) Y_1)))))))
% 22.01/22.24 (assume a1400 (forall ((B $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.zero_zero tptp.int)) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1401 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) P_4))))))
% 22.01/22.24 (assume a1402 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_1) (tptp.zero_zero tptp.int)) P_4))))))
% 22.01/22.24 (assume a1403 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N_1) K))) (and (=> (= K (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (=> (not (= K (tptp.zero_zero tptp.nat))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_1) K)) (=> (= N_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) I_2)) J_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2))))))))))
% 22.01/22.24 (assume a1404 (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z)))))
% 22.01/22.24 (assume a1405 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) N_1) K))) (and (=> (= K (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_1))) (=> (not (= K (tptp.zero_zero tptp.nat))) (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_1) K)) (=> (= N_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) I_2)) J_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 J_1))))))))))
% 22.01/22.24 (assume a1406 (forall ((Q_3 $$unsorted) (R_4 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) R_4) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Q_3) C))) R_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) C)))))))
% 22.01/22.24 (assume a1407 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a1408 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) Y_1)))))))
% 22.01/22.24 (assume a1409 (forall ((Z $$unsorted) (W_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z))))))
% 22.01/22.24 (assume a1410 (forall ((Z $$unsorted) (W_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) W_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z))) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W_1) Z))))))
% 22.01/22.24 (assume a1411 (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) Z_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_4))))))
% 22.01/22.24 (assume a1412 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1413 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1414 (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_4)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) Z_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_4)))))))
% 22.01/22.24 (assume a1415 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) X_1) Y_1)))))))
% 22.01/22.24 (assume a1416 (forall ((Z_1 $$unsorted) (Z_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_4) Z_1)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z_1) Z_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_4)))))))
% 22.01/22.24 (assume a1417 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) N) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N))))))
% 22.01/22.24 (assume a1418 (forall ((N $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) N)))))
% 22.01/22.24 (assume a1419 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) M)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)))
% 22.01/22.24 (assume a1420 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a1421 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) P_5)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 P_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 P_5)) (tptp.one_one tptp.nat))))))))
% 22.01/22.24 (assume a1422 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))))
% 22.01/22.24 (assume a1423 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) X))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))))) (tptp.one_one tptp.int)) P_5))))))
% 22.01/22.24 (assume a1424 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1425 (forall ((Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Ma) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Ma) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a1426 (forall ((P_5 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_5) X) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1427 (forall ((L_4 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) L_4)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg K_4) L_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) K_4) L_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) L_4)))))))
% 22.01/22.24 (assume a1428 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1429 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1430 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 P_5)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1431 (forall ((P_5 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.inv P_5) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) P_5))))
% 22.01/22.24 (assume a1432 (forall ((P_5 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1433 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) X_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))))))))
% 22.01/22.24 (assume a1434 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) X_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_1) (tptp.zero_zero tptp.int)) P_4)))))))
% 22.01/22.24 (assume a1435 (forall ((Y_1 $$unsorted) (X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4)))))))))
% 22.01/22.24 (assume a1436 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) (tptp.zero_zero tptp.int)) P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) P_5)))))))
% 22.01/22.24 (assume a1437 (forall ((X_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes P_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.multInv P_4) X_1))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))))))))
% 22.01/22.24 (assume a1438 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legendre A_1) P_5)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) P_5))))))
% 22.01/22.24 (assume a1439 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) B))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B)))))))))
% 22.01/22.24 (assume a1440 (forall ((W $$unsorted) (V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))))))))
% 22.01/22.24 (assume a1441 (forall ((M $$unsorted)) (or (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a1442 (forall ((I_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.nat) tptp.nat_aux I_1) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 I_1)) N))))
% 22.01/22.24 (assume a1443 (forall ((M_5 $$unsorted) (D_4 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M_5) D_4) (tptp.zero_zero tptp.int)) (exists ((Q_4 $$unsorted)) (= (tptp.ti tptp.int M_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) D_4) Q_4))))))
% 22.01/22.24 (assume a1444 (forall ((X $$unsorted) (N $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Y) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Y) X)) (exists ((Q_4 $$unsorted)) (= X (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) Q_4))))))))
% 22.01/22.24 (assume a1445 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (= (tptp.hAPP tptp.int tptp.nat tptp.phi P_5) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a1446 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_2) B_1))) (and (=> (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1)))) (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) (tptp.zero_zero tptp.int))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_2) B_1) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B_1)))))))))
% 22.01/22.24 (assume a1447 (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.nat_tr1645093318rphism tptp.int tptp.nat) tptp.nat_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1448 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.nat_tr1645093318rphism X_a X_b) F) A_3))))
% 22.01/22.24 (assume a1449 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.nat_tr1645093318rphism X_a X_b) F) A_3))))
% 22.01/22.24 (assume a1450 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Y_1) Z)) (= Y_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Z)))))
% 22.01/22.24 (assume a1451 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A0) A1))) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_4) B_4))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_4) B_4))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_4) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B_4)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A_4) B_4))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A0) A1))))))
% 22.01/22.24 (assume a1452 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_2) B_1))) (and (=> (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) B_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) A_2))) (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) B_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) (tptp.zero_zero tptp.int))))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_2) B_1) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B_1)))))))))
% 22.01/22.24 (assume a1453 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A0) A1))) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_4) B_4))) (=> (=> (not (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_4) B_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_4) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) B_4)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A_4) B_4))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A0) A1))))))
% 22.01/22.24 (assume a1454 (forall ((M $$unsorted) (D $$unsorted) (R_4 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) D) R_4) (exists ((Q_4 $$unsorted)) (= M (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) R_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Q_4) D)))))))
% 22.01/22.24 (assume a1455 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X_1) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Y_1) N_1)) (exists ((Q1 $$unsorted) (Q2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Q1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Q2)))))))
% 22.01/22.24 (assume a1456 (forall ((M_5 $$unsorted) (D_4 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M_5) D_4) (tptp.zero_zero tptp.nat)) (exists ((Q_4 $$unsorted)) (= M_5 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) D_4) Q_4))))))
% 22.01/22.24 (assume a1457 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) C)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) Q_3) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) Q_3) C))) R_4)))))))))
% 22.01/22.24 (assume a1458 (forall ((Q_5 $$unsorted) (R_5 $$unsorted) (A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_5) R_5))) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int R_4) (tptp.ti tptp.int R_5)))))))
% 22.01/22.24 (assume a1459 (forall ((Q_5 $$unsorted) (R_5 $$unsorted) (A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_5) R_5))) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int Q_3) (tptp.ti tptp.int Q_5)))))))
% 22.01/22.24 (assume a1460 (forall ((A_1 $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) A_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int R_4) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1461 (forall ((B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel (tptp.zero_zero tptp.int)) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))))))
% 22.01/22.24 (assume a1462 (forall ((A_1 $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) A_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (= (tptp.ti tptp.int Q_3) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1463 (forall ((A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.ti tptp.int Q_3))))))
% 22.01/22.24 (assume a1464 (forall ((A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.ti tptp.int R_4))))))
% 22.01/22.24 (assume a1465 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B)))))))
% 22.01/22.24 (assume a1466 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)))))))
% 22.01/22.24 (assume a1467 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B)))))))
% 22.01/22.24 (assume a1468 (forall ((B $$unsorted) (Bq $$unsorted) (Br $$unsorted) (A_1 $$unsorted) (C $$unsorted) (Aq $$unsorted) (Ar $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) C) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Aq) Ar))) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel B) C) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Bq) Br))) (=> (not (= (tptp.ti tptp.int C) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_1) B)) C) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Aq) Bq)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Ar) Br)) C))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Ar) Br)) C)))))))))
% 22.01/22.24 (assume a1469 (forall ((A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) Q_3)) R_4)) (=> (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) R_4) B)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) R_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int)))))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4)))))))
% 22.01/22.24 (assume a1470 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel B) C) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4))) (=> (not (= (tptp.ti tptp.int C) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) C) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) Q_3)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) R_4)) C))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) R_4)) C))))))))
% 22.01/22.24 (assume a1471 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y)))))))
% 22.01/22.24 (assume a1472 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_5)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.one_one tptp.int)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_5) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a1473 (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)) (tptp.ti tptp.int X)))))
% 22.01/22.24 (assume a1474 (forall ((K_4 $$unsorted)) (and (=> (= K_4 (tptp.zero_zero tptp.code_code_numeral)) (= (tptp.hAPP tptp.code_code_numeral tptp.int tptp.code_int_of K_4) (tptp.zero_zero tptp.int))) (=> (not (= K_4 (tptp.zero_zero tptp.code_code_numeral))) (and (=> (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_mod tptp.code_code_numeral) K_4) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.code_code_numeral)) (= (tptp.hAPP tptp.code_code_numeral tptp.int tptp.code_int_of K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.code_code_numeral tptp.int tptp.code_int_of (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_div tptp.code_code_numeral) K_4) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (=> (not (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_mod tptp.code_code_numeral) K_4) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.code_code_numeral))) (= (tptp.hAPP tptp.code_code_numeral tptp.int tptp.code_int_of K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.code_code_numeral tptp.int tptp.code_int_of (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_div tptp.code_code_numeral) K_4) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.one_one tptp.int)))))))))
% 22.01/22.24 (assume a1475 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1476 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X))) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)))))))))
% 22.01/22.24 (assume a1477 (forall ((I $$unsorted) (J $$unsorted) (F $$unsorted)) (=> (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) J_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat F I_2)) (tptp.hAPP tptp.nat tptp.nat F J_1))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat F I)) (tptp.hAPP tptp.nat tptp.nat F J)))))))
% 22.01/22.24 (assume a1478 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.24 (assume a1479 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1480 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1481 (forall ((K_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) K_4))))
% 22.01/22.24 (assume a1482 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) X) Y)))))
% 22.01/22.24 (assume a1483 (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.minus_minus tptp.code_code_numeral) (tptp.zero_zero tptp.code_code_numeral)) (tptp.one_one tptp.code_code_numeral)) (tptp.zero_zero tptp.code_code_numeral)))
% 22.01/22.24 (assume a1484 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))
% 22.01/22.24 (assume a1485 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc X) (tptp.hAPP tptp.nat tptp.nat tptp.suc Y)) (= X Y))))
% 22.01/22.24 (assume a1486 (forall ((X_a $$unsorted)) (=> (tptp.semiring_char_0 X_a) (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) Ma) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (= Ma N_1))))))
% 22.01/22.24 (assume a1487 (forall ((Nat $$unsorted) (Nat_5 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_5)) (= Nat Nat_5))))
% 22.01/22.24 (assume a1488 (forall ((N $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N) N))))
% 22.01/22.24 (assume a1489 (forall ((N $$unsorted)) (not (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1490 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)))))))
% 22.01/22.24 (assume a1491 (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.one_one tptp.int)))
% 22.01/22.24 (assume a1492 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z)) (exists ((N_2 $$unsorted)) (= (tptp.ti tptp.int Z) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))))))
% 22.01/22.24 (assume a1493 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)))))
% 22.01/22.24 (assume a1494 (forall ((M $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1495 (forall ((M $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))))
% 22.01/22.24 (assume a1496 (forall ((Nat_4 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_4) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1497 (forall ((M $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1498 (forall ((Nat_3 $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_3)))))
% 22.01/22.24 (assume a1499 (forall ((M $$unsorted)) (not (= (tptp.zero_zero tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))))
% 22.01/22.24 (assume a1500 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) N)))
% 22.01/22.24 (assume a1501 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)))))
% 22.01/22.24 (assume a1502 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)))))
% 22.01/22.24 (assume a1503 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= M N)))))
% 22.01/22.24 (assume a1504 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_2) K_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_1)) K_4))))))
% 22.01/22.24 (assume a1505 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (=> (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N))))))
% 22.01/22.24 (assume a1506 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.24 (assume a1507 (forall ((N $$unsorted) (M $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) M))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) (= M N)))))
% 22.01/22.24 (assume a1508 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma))) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma))) (= N_1 Ma)))))
% 22.01/22.24 (assume a1509 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1510 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (= Ma N_1)))))
% 22.01/22.24 (assume a1511 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma))))))
% 22.01/22.24 (assume a1512 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1513 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)))))
% 22.01/22.24 (assume a1514 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)))))
% 22.01/22.24 (assume a1515 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) N)))))
% 22.01/22.24 (assume a1516 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma)))))
% 22.01/22.24 (assume a1517 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))
% 22.01/22.24 (assume a1518 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) Ma)))))
% 22.01/22.24 (assume a1519 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.24 (assume a1520 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N))) (= M (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.24 (assume a1521 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)))))
% 22.01/22.24 (assume a1522 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) N_1)) (= Ma N_1))))
% 22.01/22.24 (assume a1523 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))
% 22.01/22.24 (assume a1524 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hAPP tptp.nat tptp.nat tptp.suc K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) K_4))))
% 22.01/22.24 (assume a1525 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N))) N))))
% 22.01/22.24 (assume a1526 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (= X_1 Y_1))))
% 22.01/22.24 (assume a1527 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.zero_zero tptp.int))))
% 22.01/22.24 (assume a1528 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a1529 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y_1))))))
% 22.01/22.24 (assume a1530 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y))))))
% 22.01/22.24 (assume a1531 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y))))))
% 22.01/22.24 (assume a1532 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y))))))))
% 22.01/22.24 (assume a1533 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1534 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y))))))))
% 22.01/22.24 (assume a1535 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y))))))))
% 22.01/22.24 (assume a1536 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)))))))
% 22.01/22.24 (assume a1537 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) Y_1))) (or (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y_1))))))))
% 22.01/22.24 (assume a1538 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1))) (or (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) Y_1))))))))
% 22.01/22.24 (assume a1539 (forall ((N $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N)))))))
% 22.01/22.24 (assume a1540 (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.one_one tptp.int)) tptp.zEven))))
% 22.01/22.24 (assume a1541 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1)) tptp.zEven)))))
% 22.01/22.24 (assume a1542 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1)) tptp.zEven)) (or (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven))))))
% 22.01/22.24 (assume a1543 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) Y_1)) tptp.zEven))))))
% 22.01/22.24 (assume a1544 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1)) tptp.zEven)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven))))))
% 22.01/22.24 (assume a1545 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1)) tptp.zEven))))))
% 22.01/22.24 (assume a1546 (forall ((X_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)))))
% 22.01/22.24 (assume a1547 (forall ((X_1 $$unsorted)) (or (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)))))
% 22.01/22.24 (assume a1548 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven))))))
% 22.01/22.24 (assume a1549 (forall ((X_1 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven))))))
% 22.01/22.24 (assume a1550 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)))))))
% 22.01/22.24 (assume a1551 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)))))))
% 22.01/22.24 (assume a1552 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1553 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.zero_zero tptp.nat)) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a1554 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)))))))
% 22.01/22.24 (assume a1555 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))))
% 22.01/22.24 (assume a1556 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) Ma)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))))
% 22.01/22.24 (assume a1557 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) Ma)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))))
% 22.01/22.24 (assume a1558 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)))))))
% 22.01/22.24 (assume a1559 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)))))))
% 22.01/22.24 (assume a1560 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.one_one tptp.nat)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a1561 (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.int)))
% 22.01/22.24 (assume a1562 (forall ((N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1) (tptp.zero_zero tptp.int)) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1563 (= (tptp.zero_zero tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a1564 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) N))))))
% 22.01/22.24 (assume a1565 (forall ((K_4 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) K_4)) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1566 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)))))
% 22.01/22.24 (assume a1567 (forall ((Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Z_1)))))
% 22.01/22.24 (assume a1568 (forall ((P_1 $$unsorted)) (= (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)))) (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_2)))))))
% 22.01/22.24 (assume a1569 (forall ((P_1 $$unsorted)) (= (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)))) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_2)))))))
% 22.01/22.24 (assume a1570 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1571 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_1) Y_1)))))
% 22.01/22.24 (assume a1572 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.semiring_0 X_a)) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1573 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1574 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X_1) Y_1)))))
% 22.01/22.24 (assume a1575 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)))))
% 22.01/22.24 (assume a1576 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)))))
% 22.01/22.24 (assume a1577 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X) Y)))))
% 22.01/22.24 (assume a1578 (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W_1) Z)) (exists ((N_2 $$unsorted)) (= (tptp.ti tptp.int Z) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2)))))))
% 22.01/22.24 (assume a1579 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) A_1))))))
% 22.01/22.24 (assume a1580 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))
% 22.01/22.24 (assume a1581 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) Q_3)) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc Q_3)))))))
% 22.01/22.24 (assume a1582 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) Q_3)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc Q_3)))))))
% 22.01/22.24 (assume a1583 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc Q_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) Q_3)))))))
% 22.01/22.24 (assume a1584 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)))))
% 22.01/22.24 (assume a1585 (forall ((M $$unsorted) (N $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) Z_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N))) Z_1))))
% 22.01/22.24 (assume a1586 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X) Y)))))
% 22.01/22.24 (assume a1587 (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.one_one tptp.nat)) (tptp.one_one tptp.int)))
% 22.01/22.24 (assume a1588 (= (tptp.one_one tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.one_one tptp.nat))))
% 22.01/22.24 (assume a1589 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)))))
% 22.01/22.24 (assume a1590 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1))))))
% 22.01/22.24 (assume a1591 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (or (= X (tptp.zero_zero tptp.nat)) (= X (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1592 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (or (= Ma (tptp.zero_zero tptp.nat)) (exists ((J_1 $$unsorted)) (and (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc J_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J_1) N_1))))))))
% 22.01/22.24 (assume a1593 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1594 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (exists ((M_2 $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))
% 22.01/22.24 (assume a1595 (forall ((Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a1596 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (or (and (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (= N_1 (tptp.zero_zero tptp.nat))) (and (= Ma (tptp.zero_zero tptp.nat)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 22.01/22.24 (assume a1597 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1)) (or (and (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (= N_1 (tptp.zero_zero tptp.nat))) (and (= Ma (tptp.zero_zero tptp.nat)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 22.01/22.24 (assume a1598 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (and (= Ma (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1599 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (exists ((K_1 $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K_1)))))))
% 22.01/22.24 (assume a1600 (forall ((I_1 $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) I_1))))))
% 22.01/22.24 (assume a1601 (forall ((I_1 $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_1) M))))))
% 22.01/22.24 (assume a1602 (= (tptp.one_one tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a1603 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)))))
% 22.01/22.24 (assume a1604 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma))) (= N_1 Ma)))))
% 22.01/22.24 (assume a1605 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)))))
% 22.01/22.24 (assume a1606 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.24 (assume a1607 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1608 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1609 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma)))))
% 22.01/22.24 (assume a1610 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1611 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))))
% 22.01/22.24 (assume a1612 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)))))
% 22.01/22.24 (assume a1613 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)))))
% 22.01/22.24 (assume a1614 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)))))
% 22.01/22.24 (assume a1615 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a1616 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.one_one tptp.nat)) N))))
% 22.01/22.24 (assume a1617 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))))
% 22.01/22.24 (assume a1618 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.one_one tptp.nat)) N)))
% 22.01/22.24 (assume a1619 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat))) N))))
% 22.01/22.24 (assume a1620 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) A_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) B)))))
% 22.01/22.24 (assume a1621 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) Y)))))
% 22.01/22.24 (assume a1622 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M)))
% 22.01/22.24 (assume a1623 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a1624 (forall ((M $$unsorted) (N $$unsorted)) (and (=> (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) N) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.zero_zero tptp.nat))) (=> (not (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)))))))
% 22.01/22.24 (assume a1625 (forall ((X_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (or (= Ma (tptp.zero_zero tptp.nat)) (= X_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1626 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1627 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) N))))
% 22.01/22.24 (assume a1628 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) N) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) N)))))
% 22.01/22.24 (assume a1629 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) N) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N)))))
% 22.01/22.24 (assume a1630 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) A_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) B)))))
% 22.01/22.24 (assume a1631 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))))
% 22.01/22.24 (assume a1632 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_1) Y_1)))))
% 22.01/22.24 (assume a1633 (forall ((N $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))))
% 22.01/22.24 (assume a1634 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X_1) Y_1)))))
% 22.01/22.24 (assume a1635 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X_1) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (not (= N_1 (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1636 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1)) tptp.zEven))))))
% 22.01/22.24 (assume a1637 (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1)) tptp.zOdd))))))
% 22.01/22.24 (assume a1638 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1)) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) tptp.zEven))))))
% 22.01/22.24 (assume a1639 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) B_1)) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) tptp.zOdd))))))
% 22.01/22.24 (assume a1640 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1)) tptp.zOdd))))))
% 22.01/22.24 (assume a1641 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1)) tptp.zOdd))))))
% 22.01/22.24 (assume a1642 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) Y_1)) tptp.zEven))))))
% 22.01/22.24 (assume a1643 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) M)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))))
% 22.01/22.24 (assume a1644 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1)) (tptp.zero_zero tptp.int))) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1645 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (= (tptp.ti X_a A_1) (tptp.ti X_a B)))))))))
% 22.01/22.24 (assume a1646 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B))))))))
% 22.01/22.24 (assume a1647 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))))))
% 22.01/22.24 (assume a1648 (forall ((Z_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.ti tptp.int Z_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1))) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1649 (forall ((Ma $$unsorted) (Z $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma) (tptp.ti tptp.int Z)) (and (= Ma (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z))))))
% 22.01/22.24 (assume a1650 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.ti tptp.int Z_1)))))
% 22.01/22.24 (assume a1651 (forall ((Ma $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) Z)))))
% 22.01/22.24 (assume a1652 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N))))))
% 22.01/22.24 (assume a1653 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)))))))
% 22.01/22.24 (assume a1654 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) M)))))))
% 22.01/22.24 (assume a1655 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)))))))
% 22.01/22.24 (assume a1656 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N) M) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1657 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N) K_4) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) K_4))))))))
% 22.01/22.24 (assume a1658 (forall ((M $$unsorted) (K_4 $$unsorted)) (=> (not (= M (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) K_4))))))
% 22.01/22.24 (assume a1659 (forall ((M $$unsorted) (K_4 $$unsorted)) (=> (not (= M (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) K_4))) (=> (not (= M (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M))))))
% 22.01/22.24 (assume a1660 (forall ((I_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_1))) N)))))
% 22.01/22.24 (assume a1661 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) N))))
% 22.01/22.24 (assume a1662 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N_1))))))
% 22.01/22.24 (assume a1663 (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.one_one tptp.int)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a1664 (forall ((M $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_4)) (tptp.hAPP tptp.nat tptp.nat tptp.suc J_2))))))
% 22.01/22.24 (assume a1665 (forall ((M $$unsorted) (K_4 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) J_2)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) J_2) K_4))) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc J_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_4) M))))))
% 22.01/22.24 (assume a1666 (forall ((N $$unsorted) (I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) I_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) I_1) N))))))
% 22.01/22.24 (assume a1667 (forall ((K_4 $$unsorted) (N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)) M))) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N))))
% 22.01/22.24 (assume a1668 (= (tptp.zero_zero tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) tptp.pls)))
% 22.01/22.24 (assume a1669 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))))
% 22.01/22.24 (assume a1670 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X_1) N_1)) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven))))))
% 22.01/22.24 (assume a1671 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))
% 22.01/22.24 (assume a1672 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_1) (tptp.one_one tptp.int))) tptp.zEven)))))
% 22.01/22.24 (assume a1673 (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a1674 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_1) J_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) K_4)) I_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) K_4)) J_2)))))))
% 22.01/22.24 (assume a1675 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) R_4)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) R_4) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) R_4) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) R_4))))))))
% 22.01/22.24 (assume a1676 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (tptp.one_one X_a)))))))))
% 22.01/22.24 (assume a1677 (forall ((P_1 $$unsorted) (I $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.int tptp.nat tptp.nat_1 I))) (and (forall ((N_2 $$unsorted)) (=> (= (tptp.ti tptp.int I) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_2)))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat))))))))
% 22.01/22.24 (assume a1678 (forall ((Ma $$unsorted) (W_1 $$unsorted)) (= (= Ma (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1)) (= (tptp.ti tptp.int W_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1))) (= Ma (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1679 (forall ((W_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1) Ma) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1)) (= (tptp.ti tptp.int W_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1))) (= Ma (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1680 (forall ((Ma $$unsorted) (V_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)) (and (= Ma (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)))))))
% 22.01/22.24 (assume a1681 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a1682 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 22.01/22.24 (assume a1683 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))))
% 22.01/22.24 (assume a1684 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((Y $$unsorted) (P_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) P_5) N)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) P_5)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) P_5))) Y)))))))
% 22.01/22.24 (assume a1685 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat)))))))
% 22.01/22.24 (assume a1686 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))) N))))
% 22.01/22.24 (assume a1687 (forall ((N $$unsorted) (M $$unsorted)) (and (=> (= M (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) N)) (=> (not (= M (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat))) N)))))))
% 22.01/22.24 (assume a1688 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N)))))))
% 22.01/22.24 (assume a1689 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N))))))))
% 22.01/22.24 (assume a1690 (forall ((M $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) K_4)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M))) K_4) (tptp.one_one tptp.nat)))))
% 22.01/22.24 (assume a1691 (forall ((A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc A_1)) C) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) C))) C)))))
% 22.01/22.24 (assume a1692 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y)))))))
% 22.01/22.24 (assume a1693 (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.24 (assume a1694 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Y)))))
% 22.01/22.24 (assume a1695 (forall ((Ma $$unsorted) (W_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) W_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 W_1)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)))))))
% 22.01/22.24 (assume a1696 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)))))))
% 22.01/22.24 (assume a1697 (forall ((P_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) X_1) Y_1)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Y_1) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.zero_zero tptp.int))))))))
% 22.01/22.24 (assume a1698 (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1699 (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))
% 22.01/22.24 (assume a1700 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1701 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))
% 22.01/22.24 (assume a1702 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) tptp.pls)) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a1703 (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Z)))))
% 22.01/22.24 (assume a1704 (forall ((V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V))) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat)))))))
% 22.01/22.24 (assume a1705 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a1706 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a1707 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.one_one tptp.int)) Z_1))))))
% 22.01/22.24 (assume a1708 (forall ((M $$unsorted) (V $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)))))
% 22.01/22.24 (assume a1709 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) N))))
% 22.01/22.24 (assume a1710 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.24 (assume a1711 (forall ((M $$unsorted) (V $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)))))
% 22.01/22.24 (assume a1712 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc M)))) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M)) N))))
% 22.01/22.24 (assume a1713 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.24 (assume a1714 (forall ((Q_2 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Q_2)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc Q_2))))) (= Q_2 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) Ma) N_1))))))
% 22.01/22.24 (assume a1715 (forall ((P_1 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) Ma) N_1))) (or (and (= N_1 (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (exists ((Q_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) Q_4)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc Q_4)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 Q_4))))))))
% 22.01/22.24 (assume a1716 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N)))))))
% 22.01/22.24 (assume a1717 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))))
% 22.01/22.24 (assume a1718 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1719 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (exists ((Y_2 $$unsorted)) (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Y_2))))))
% 22.01/22.24 (assume a1720 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X_1)))))
% 22.01/22.24 (assume a1721 (forall ((Z $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z)) Ma)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Z) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z))) (= Ma (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1722 (forall ((X_1 $$unsorted) (K $$unsorted)) (=> (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) K)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)))))
% 22.01/22.24 (assume a1723 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (or (= N (tptp.zero_zero tptp.nat)) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1724 (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1725 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1726 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.ti tptp.int X)))))
% 22.01/22.24 (assume a1727 (= (tptp.one_one tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.code_code_numeral (tptp.number_number_of tptp.code_code_numeral) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))
% 22.01/22.24 (assume a1728 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1729 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))))))))
% 22.01/22.24 (assume a1730 (forall ((Y $$unsorted) (X $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Y))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y) X))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1731 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) N)))))
% 22.01/22.24 (assume a1732 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.24 (assume a1733 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1734 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) Y_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1735 (forall ((K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_4) M)) K_4) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.24 (assume a1736 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X_1) Y_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) Y_1)))))
% 22.01/22.24 (assume a1737 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.ti tptp.int X_1)))))
% 22.01/22.24 (assume a1738 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) Y_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) Y_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1739 (forall ((V_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))))))
% 22.01/22.24 (assume a1740 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (=> (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_1) tptp.zEven))) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y_1))))))))
% 22.01/22.24 (assume a1741 (forall ((X_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1))) (exists ((Y_2 $$unsorted)) (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Y_2)) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a1742 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)))))))
% 22.01/22.24 (assume a1743 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a1744 (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1745 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.24 (assume a1746 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1))))))
% 22.01/22.24 (assume a1747 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.24 (assume a1748 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) M)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) M) (tptp.one_one tptp.int)))))))
% 22.01/22.24 (assume a1749 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (not (forall ((K_1 $$unsorted)) (not (= (tptp.ti tptp.int X_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) K_1))))))))
% 22.01/22.24 (assume a1750 (forall ((I $$unsorted) (P_1 $$unsorted) (P_4 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_2)) P_4)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) P_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat))))))))
% 22.01/22.24 (assume a1751 (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (exists ((R_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) R_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) A_1))))))
% 22.01/22.24 (assume a1752 (forall ((K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) K_4)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_2)) (= (tptp.ti tptp.int K_4) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2)))))))
% 22.01/22.24 (assume a1753 (forall ((J $$unsorted) (I $$unsorted) (P_1 $$unsorted) (P_4 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_2)) P_4)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) J) P_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 J))))))))
% 22.01/22.24 (assume a1754 (forall ((N_1 $$unsorted) (N_7 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_2)) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) N_7)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_1)) (tptp.hAPP tptp.nat tptp.nat F N_7)))))))
% 22.01/22.24 (assume a1755 (forall ((P_1 $$unsorted) (I $$unsorted) (J $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I) J)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 J)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) J)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc I_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 I)))))))
% 22.01/22.24 (assume a1756 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (P_1 $$unsorted)) (and (=> (tptp.hBOOL P_1) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) P_1) X_1) Y_1)))) (=> (not (tptp.hBOOL P_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) P_1) X_1) Y_1)))))))
% 22.01/22.24 (assume a1757 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y_1)) (= X_1 Y_1))))
% 22.01/22.24 (assume a1758 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1)) (= Ma N_1))))
% 22.01/22.24 (assume a1759 (forall ((N $$unsorted) (I_1 $$unsorted)) (and (=> (= I_1 (tptp.zero_zero tptp.code_code_numeral)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.nat tptp.nat) tptp.code_nat_of_aux I_1) N) N)) (=> (not (= I_1 (tptp.zero_zero tptp.code_code_numeral))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.nat tptp.nat) tptp.code_nat_of_aux I_1) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.nat tptp.nat) tptp.code_nat_of_aux (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.minus_minus tptp.code_code_numeral) I_1) (tptp.one_one tptp.code_code_numeral))) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))))
% 22.01/22.24 (assume a1760 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (not (forall ((M_2 $$unsorted)) (not (= (tptp.ti tptp.int Z_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M_2))))))))
% 22.01/22.24 (assume a1761 (forall ((K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (not (forall ((N_2 $$unsorted)) (not (= (tptp.ti tptp.int K_4) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2))))))))
% 22.01/22.24 (assume a1762 (forall ((K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (exists ((N_2 $$unsorted)) (= (tptp.ti tptp.int K_4) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2))))))
% 22.01/22.24 (assume a1763 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (exists ((K_1 $$unsorted)) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) K_1)))))))
% 22.01/22.24 (assume a1764 (forall ((N_1 $$unsorted) (N_7 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_2)) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.nat F N_2)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) N_7)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_1)) (tptp.hAPP tptp.nat tptp.nat F N_7))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_7)) (tptp.hAPP tptp.nat tptp.nat F N_1)))))))))
% 22.01/22.24 (assume a1765 (forall ((N_1 $$unsorted) (Ma $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_2)) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.nat F N_2)))))) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F N_1)) (tptp.hAPP tptp.nat tptp.nat F Ma))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat F Ma)) (tptp.hAPP tptp.nat tptp.nat F N_1))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma))))))
% 22.01/22.24 (assume a1766 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (exists ((M_2 $$unsorted)) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))
% 22.01/22.24 (assume a1767 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((N_1 $$unsorted) (N_7 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F N_2)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) N_7)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F N_1)) (tptp.hAPP tptp.nat X_a F N_7)))))))))
% 22.01/22.24 (assume a1768 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((N_1 $$unsorted) (N_7 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F N_2)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) N_7)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F N_1)) (tptp.hAPP tptp.nat X_a F N_7)))))))))
% 22.01/22.24 (assume a1769 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((N_1 $$unsorted) (Ma $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F N_2)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F N_1)) (tptp.hAPP tptp.nat X_a F Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma))))))))
% 22.01/22.24 (assume a1770 (forall ((V_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))))))))
% 22.01/22.24 (assume a1771 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a1772 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a1773 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))))
% 22.01/22.24 (assume a1774 (forall ((Z_5 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg Z_5)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z_5) (tptp.zero_zero tptp.int))))))
% 22.01/22.24 (assume a1775 (forall ((X_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg X_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)))))
% 22.01/22.24 (assume a1776 (forall ((W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 W_1)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W_1))))))
% 22.01/22.24 (assume a1777 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.pls)))))
% 22.01/22.24 (assume a1778 (forall ((W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 W_1)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W_1))))))
% 22.01/22.24 (assume a1779 (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg Z_1)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1780 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))
% 22.01/22.24 (assume a1781 (forall ((Z_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg Z_1))) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.ti tptp.int Z_1)))))
% 22.01/22.24 (assume a1782 (forall ((V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a1783 (forall ((V_1 $$unsorted) (V_2 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_2)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_2)) (tptp.zero_zero tptp.int)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_2))) (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1) (tptp.zero_zero tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_2)))) (= (tptp.ti tptp.int V_1) (tptp.ti tptp.int V_2)))))))))
% 22.01/22.24 (assume a1784 (forall ((V_3 $$unsorted) (K_4 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) K_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) K_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) V_3))) K_4))))))))
% 22.01/22.24 (assume a1785 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.zero_zero tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))))
% 22.01/22.24 (assume a1786 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.zero_zero X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))))))))
% 22.01/22.24 (assume a1787 (forall ((V_3 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))))))))
% 22.01/22.24 (assume a1788 (forall ((W $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))))
% 22.01/22.24 (assume a1789 (forall ((N $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.zero_zero tptp.nat)) N))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) N) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) N)))))))
% 22.01/22.24 (assume a1790 (forall ((V_3 $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_3)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_3))))))))))
% 22.01/22.24 (assume a1791 (forall ((N $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.one_one tptp.nat)) N))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.succ V))) N))))))
% 22.01/22.24 (assume a1792 (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int))))))
% 22.01/22.24 (assume a1793 (forall ((Z_1 $$unsorted)) (not (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (not (= (tptp.ti tptp.int Z_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M_2)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2))))))))
% 22.01/22.24 (assume a1794 (forall ((I $$unsorted) (P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 K)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_2)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) K) I)))))))
% 22.01/22.24 (assume a1795 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Z_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_2) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_2) X)) Y))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)))))))
% 22.01/22.24 (assume a1796 (forall ((N $$unsorted) (M_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) M_4)) (exists ((M_2 $$unsorted)) (= M_4 (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))
% 22.01/22.24 (assume a1797 (= (tptp.hAPP tptp.int tptp.int tptp.succ tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))
% 22.01/22.24 (assume a1798 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.succ (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.succ K_4)))))
% 22.01/22.24 (assume a1799 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.succ (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4))))
% 22.01/22.24 (assume a1800 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.succ K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a1801 (= (tptp.hAPP tptp.int tptp.int tptp.succ tptp.min_1) tptp.pls))
% 22.01/22.24 (assume a1802 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.succ K_4))))
% 22.01/22.24 (assume a1803 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.succ K_4)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) K_4)))))))
% 22.01/22.24 (assume a1804 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) (tptp.hAPP tptp.int tptp.int tptp.succ L_4))))))
% 22.01/22.24 (assume a1805 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.succ V))))))))
% 22.01/22.24 (assume a1806 (forall ((X_a $$unsorted)) (=> (tptp.number_semiring X_a) (forall ((V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) tptp.pls) V)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.succ V))))))))
% 22.01/22.24 (assume a1807 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat)) (tptp.one_one tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.succ V)))))))
% 22.01/22.24 (assume a1808 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.succ V)))))))
% 22.01/22.24 (assume a1809 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.succ V)))))))
% 22.01/22.24 (assume a1810 (forall ((J $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_4) A_2))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong J) (tptp.zero_zero tptp.int)) P_4))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.multInvPair A_2) P_4) J)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a1811 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_4) A_2))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) X_2) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) X_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))
% 22.01/22.24 (assume a1812 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) E)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Y) E))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)))))))
% 22.01/22.24 (assume a1813 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) X))))))
% 22.01/22.24 (assume a1814 (forall ((I_1 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) K_4)) (=> (not (= K_4 (tptp.hAPP tptp.nat tptp.nat tptp.suc I_1))) (not (forall ((J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_1)) (not (= K_4 (tptp.hAPP tptp.nat tptp.nat tptp.suc J_1))))))))))
% 22.01/22.24 (assume a1815 (forall ((I_1 $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I_1)) K_4)) (not (forall ((J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_1) J_1)) (not (= K_4 (tptp.hAPP tptp.nat tptp.nat tptp.suc J_1)))))))))
% 22.01/22.24 (assume a1816 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)))))))
% 22.01/22.24 (assume a1817 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a X_b G X_1))))))))
% 22.01/22.24 (assume a1818 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) X))))))))
% 22.01/22.24 (assume a1819 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.24 (assume a1820 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Z_1))))))))
% 22.01/22.24 (assume a1821 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.24 (assume a1822 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (=> (= (tptp.ti X_a B) (tptp.ti X_a C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) A_1))))))))
% 22.01/22.24 (assume a1823 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (= (tptp.ti X_a B) (tptp.ti X_a C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) C))))))))
% 22.01/22.24 (assume a1824 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti X_a A_1) (tptp.ti X_a B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) A_1))))))))
% 22.01/22.24 (assume a1825 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti X_a A_1) (tptp.ti X_a B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) C))))))))
% 22.01/22.24 (assume a1826 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) X_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1827 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((X_1 $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a X_b G X_1))))))))
% 22.01/22.24 (assume a1828 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (= X Y) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)))))))
% 22.01/22.24 (assume a1829 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) X_1))))))))
% 22.01/22.24 (assume a1830 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)))))))
% 22.01/22.24 (assume a1831 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2)))))))))
% 22.01/22.24 (assume a1832 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) X)))))))
% 22.01/22.24 (assume a1833 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1))))))))
% 22.01/22.24 (assume a1834 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1835 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (= (tptp.ti X_a X) (tptp.ti X_a Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X)))))))
% 22.01/22.24 (assume a1836 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1))) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1))) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1837 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a1838 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.24 (assume a1839 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a1840 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a1841 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.24 (assume a1842 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (= (tptp.ti X_a Y) (tptp.ti X_a X))))))))
% 22.01/22.24 (assume a1843 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((P_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1)) (tptp.hBOOL P_1)))))))
% 22.01/22.24 (assume a1844 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1))))))))
% 22.01/22.24 (assume a1845 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a1846 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti X_a A_1) (tptp.ti X_a B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) C))))))))
% 22.01/22.24 (assume a1847 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.ti X_a A_1) (tptp.ti X_a B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) A_1))))))))
% 22.01/22.24 (assume a1848 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (= (tptp.ti X_a B) (tptp.ti X_a C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) C))))))))
% 22.01/22.24 (assume a1849 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (=> (= (tptp.ti X_a B) (tptp.ti X_a C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) A_1))))))))
% 22.01/22.24 (assume a1850 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Z_1))))))))
% 22.01/22.24 (assume a1851 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) X))))))))
% 22.01/22.24 (assume a1852 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a1853 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X))))))))
% 22.01/22.24 (assume a1854 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) X_1)))))))
% 22.01/22.24 (assume a1855 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1)))))))
% 22.01/22.24 (assume a1856 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X)))))))
% 22.01/22.24 (assume a1857 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))))
% 22.01/22.24 (assume a1858 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) X_1)))))))))
% 22.01/22.24 (assume a1859 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1860 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)))))))
% 22.01/22.24 (assume a1861 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)))))))
% 22.01/22.24 (assume a1862 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1863 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.ti X_a B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a1864 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.ti X_a B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1))))))))
% 22.01/22.24 (assume a1865 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y))))))))
% 22.01/22.24 (assume a1866 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)))))))
% 22.01/22.24 (assume a1867 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (= (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Y_1))) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.24 (assume a1868 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.24 (assume a1869 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (not (= (tptp.ti X_a A_1) (tptp.ti X_a B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B))))))))
% 22.01/22.24 (assume a1870 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (=> (not (= (tptp.ti X_a A_1) (tptp.ti X_a B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1))))))))
% 22.01/22.24 (assume a1871 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Z_1))))))))
% 22.01/22.24 (assume a1872 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) X))))))))
% 22.01/22.24 (assume a1873 (forall ((X_a $$unsorted)) (=> (tptp.preorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Z_1))))))))
% 22.01/22.24 (assume a1874 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) X))))))))
% 22.01/22.24 (assume a1875 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_4) A_2))) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat (tptp.finite_card (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a1876 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (= (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.complete_Sup_Sup (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4)))))))
% 22.01/22.24 (assume a1877 (forall ((D2 $$unsorted) (D1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D2)) (exists ((E $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) E) D1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) E) D2))))))))
% 22.01/22.24 (assume a1878 (forall ((X $$unsorted) (Y $$unsorted) (Xa_1 $$unsorted) (Ya $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Xa_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Ya) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a1879 (forall ((Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.nat))) (not (forall ((Nat_2 $$unsorted)) (not (= Y (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_2))))))))
% 22.01/22.24 (assume a1880 (forall ((P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 K)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_2)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))))))
% 22.01/22.24 (assume a1881 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((F $$unsorted) (G $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less (tptp.fun X_a X_b)) F) G)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) G) F)))))))))
% 22.01/22.24 (assume a1882 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1)) (= X_1 Y_1))))
% 22.01/22.24 (assume a1883 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y))))))
% 22.01/22.24 (assume a1884 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)))))
% 22.01/22.24 (assume a1885 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1) (tptp.zero_zero tptp.real)) (= X_1 (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a1886 (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.24 (assume a1887 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y))))))
% 22.01/22.24 (assume a1888 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)))))
% 22.01/22.24 (assume a1889 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y)))))
% 22.01/22.24 (assume a1890 (forall ((X $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) K_4)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) K_4))))
% 22.01/22.24 (assume a1891 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1) (tptp.one_one tptp.real)) (= X_1 (tptp.one_one tptp.real)))))
% 22.01/22.24 (assume a1892 (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.one_one tptp.real)) (tptp.one_one tptp.real)))
% 22.01/22.24 (assume a1893 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X) (tptp.zero_zero tptp.real)) (= X (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a1894 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt X))))))
% 22.01/22.24 (assume a1895 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a1896 (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_1)))))
% 22.01/22.24 (assume a1897 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt X))))))
% 22.01/22.24 (assume a1898 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (not (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X) (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a1899 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a1900 (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)))))
% 22.01/22.24 (assume a1901 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt X))))))
% 22.01/22.24 (assume a1902 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a1903 (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) Y_1)))))
% 22.01/22.24 (assume a1904 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a1905 (forall ((Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) Y_1)))))
% 22.01/22.24 (assume a1906 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) Y)))))))
% 22.01/22.24 (assume a1907 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) Y)))))))
% 22.01/22.24 (assume a1908 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a1909 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a1910 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a1911 (forall ((Y $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt X) Y)))))
% 22.01/22.24 (assume a1912 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X))))
% 22.01/22.24 (assume a1913 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X_1) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)))))
% 22.01/22.24 (assume a1914 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1915 (forall ((A_1 $$unsorted) (C $$unsorted) (B $$unsorted) (D $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) C)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) B) D)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) C) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) D) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a1916 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1917 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1918 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y) (= X (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a1919 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X) (= Y (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a1920 (forall ((X $$unsorted) (Y $$unsorted) (Xa_1 $$unsorted) (Ya $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Xa_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Ya) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Xa_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Ya) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a1921 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a1922 (forall ((Y $$unsorted) (X $$unsorted) (U $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) U)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) U) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) U) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) U)))))))))
% 22.01/22.24 (assume a1923 (forall ((X_a $$unsorted) (A_3 $$unsorted) (X_3 $$unsorted) (C_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) X_3) C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_3) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_3) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) C_2)))))))
% 22.01/22.24 (assume a1924 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.complete_Sup_Sup (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4)))))))
% 22.01/22.24 (assume a1925 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (exists ((M_2 $$unsorted)) (= N (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))
% 22.01/22.24 (assume a1926 (forall ((N_1 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat))) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_1))))))
% 22.01/22.24 (assume a1927 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ord X_b) (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a X_b)) F) G)))))))
% 22.01/22.24 (assume a1928 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.zero_zero X_a)) Y) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1929 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1930 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.zero_zero X_a)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a1931 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) C))))))
% 22.01/22.24 (assume a1932 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Z_1) W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) W)))))))
% 22.01/22.24 (assume a1933 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Ya $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) Ya) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Ya)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) Ya)))))))
% 22.01/22.24 (assume a1934 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)))))))
% 22.01/22.24 (assume a1935 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) (tptp.one_one X_a)) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a1936 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Ya $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) Ya) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Ya)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) Ya)))))))
% 22.01/22.24 (assume a1937 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)))))))
% 22.01/22.24 (assume a1938 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N)))))))
% 22.01/22.24 (assume a1939 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) R_4)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) A_1) R_4))))
% 22.01/22.24 (assume a1940 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt Y)))))
% 22.01/22.24 (assume a1941 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4)))))
% 22.01/22.24 (assume a1942 (forall ((A_2 $$unsorted) (P_4 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) X_2) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) X_2)))))
% 22.01/22.24 (assume a1943 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2)))))
% 22.01/22.24 (assume a1944 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)))))))))
% 22.01/22.24 (assume a1945 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)))))))))
% 22.01/22.24 (assume a1946 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1)) (tptp.zero_zero X_a))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B_1)))))))))
% 22.01/22.24 (assume a1947 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.24 (assume a1948 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.24 (assume a1949 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1)) (tptp.zero_zero X_a))) (or (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) B_1)))))))))
% 22.01/22.24 (assume a1950 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2))) (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1951 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a1952 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1953 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1954 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a1955 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)))))))))
% 22.01/22.24 (assume a1956 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C)))))))))
% 22.01/22.24 (assume a1957 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) (and (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1) (tptp.ti X_a B_1))) (=> (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1958 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1) (tptp.ti X_a A_2)) (and (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1))) (=> (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1959 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1) (tptp.ti X_a B_1))))))))
% 22.01/22.24 (assume a1960 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1) (tptp.ti X_a A_2)) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1))))))))
% 22.01/22.24 (assume a1961 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)))))))
% 22.01/22.24 (assume a1962 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)))))))
% 22.01/22.24 (assume a1963 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X_1 $$unsorted) (W_1 $$unsorted) (Z $$unsorted) (Y_1 $$unsorted)) (=> (not (= (tptp.ti X_a Y_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a Z) (tptp.zero_zero X_a))) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X_1) Y_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) W_1) Z)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) Z) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) W_1) Y_1)))))))))
% 22.01/22.24 (assume a1964 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (=> (= (tptp.ti X_a B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C) (tptp.ti X_a A_1))))))))
% 22.01/22.24 (assume a1965 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti X_a C) (tptp.zero_zero X_a))) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) C) (tptp.ti X_a B)) (= (tptp.ti X_a A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) C))))))))
% 22.01/22.24 (assume a1966 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted)) (and (=> (= (tptp.ti X_a A_1) (tptp.zero_zero X_a)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) A_1) (tptp.one_one X_a))))))))
% 22.01/22.24 (assume a1967 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) A_1) (tptp.one_one X_a)))))))
% 22.01/22.24 (assume a1968 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti X_a B_1) (tptp.zero_zero X_a))) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1) (tptp.one_one X_a)) (= (tptp.ti X_a A_2) (tptp.ti X_a B_1))))))))
% 22.01/22.24 (assume a1969 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) B) N))))))))
% 22.01/22.24 (assume a1970 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) A_1)) N))))))
% 22.01/22.24 (assume a1971 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X_1) Y_1))) (and (or (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_1))) (or (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_1) (tptp.zero_zero tptp.real))))))))
% 22.01/22.24 (assume a1972 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (C_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2)))))))))
% 22.01/22.24 (assume a1973 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a1974 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1975 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Z_1 $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) W)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) W) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) W)))))))))))
% 22.01/22.24 (assume a1976 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Z_1 $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) W)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) W) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) W)))))))))))
% 22.01/22.24 (assume a1977 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Z_1 $$unsorted) (W $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) W)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) W) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) W)))))))))))
% 22.01/22.24 (assume a1978 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1979 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a1980 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a1981 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))))))
% 22.01/22.24 (assume a1982 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))))))))
% 22.01/22.24 (assume a1983 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))))))))
% 22.01/22.24 (assume a1984 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) Z_1))))))))
% 22.01/22.24 (assume a1985 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a1986 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))))))))
% 22.01/22.24 (assume a1987 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))))))))
% 22.01/22.24 (assume a1988 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) B))))))))))
% 22.01/22.24 (assume a1989 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) B))))))))))
% 22.01/22.24 (assume a1990 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a Y) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) Y)))))))
% 22.01/22.24 (assume a1991 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) X)) Y)) Z_1)))))))
% 22.01/22.24 (assume a1992 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a Y) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) Y)))))))
% 22.01/22.24 (assume a1993 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Z_1)) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) Z_1)))))))
% 22.01/22.24 (assume a1994 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (W $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a Y) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) W) Y))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Z_1)))))))))
% 22.01/22.24 (assume a1995 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number X_a)) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (W_1 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (and (=> (not (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.ti X_a B_1))) (=> (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1996 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number X_a)) (forall ((W_1 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) (and (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1) (tptp.ti X_a B_1))) (=> (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1997 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (W_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (and (=> (not (= (tptp.ti X_a C_1) (tptp.zero_zero X_a))) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1))) (=> (= (tptp.ti X_a C_1) (tptp.zero_zero X_a)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1998 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (W_1 $$unsorted) (A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.ti X_a A_2)) (and (=> (not (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a))) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (=> (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))))
% 22.01/22.24 (assume a1999 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (W $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a Y) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) W) Y))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) Z_1)))))))))
% 22.01/22.24 (assume a2000 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Z_1)) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) Z_1)))))))
% 22.01/22.24 (assume a2001 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (=> (not (= (tptp.ti X_a Z_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) X)) Y)) Z_1)))))))
% 22.01/22.24 (assume a2002 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a))))))))))
% 22.01/22.24 (assume a2003 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))) B)))))))
% 22.01/22.24 (assume a2004 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number_ring X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls)) (tptp.zero_zero X_a))))))
% 22.01/22.24 (assume a2005 (forall ((X_a $$unsorted)) (=> (and (tptp.field X_a) (tptp.number_ring X_a)) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.ti X_a A_1))))))
% 22.01/22.24 (assume a2006 (forall ((X_a $$unsorted)) (=> (and (tptp.field X_a) (tptp.number_ring X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.ti X_a X))))))
% 22.01/22.24 (assume a2007 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a2008 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))))))
% 22.01/22.24 (assume a2009 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))))))))
% 22.01/22.24 (assume a2010 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))))))))
% 22.01/22.24 (assume a2011 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)) Z_1))))))))
% 22.01/22.24 (assume a2012 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) Y)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))))
% 22.01/22.24 (assume a2013 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)))))))))
% 22.01/22.24 (assume a2014 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1)) B_1))))))))
% 22.01/22.24 (assume a2015 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((C $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) B))))))))))
% 22.01/22.24 (assume a2016 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) C) B))))))))))
% 22.01/22.24 (assume a2017 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a2018 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((W_1 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a2019 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))))))))))
% 22.01/22.24 (assume a2020 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (W_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) A_2)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))))))
% 22.01/22.24 (assume a2021 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) B_2))))))
% 22.01/22.24 (assume a2022 (forall ((X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) B_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3))))))
% 22.01/22.24 (assume a2023 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((N $$unsorted) (M $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) M)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))))
% 22.01/22.24 (assume a2024 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a2025 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((W_1 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))))))))))))
% 22.01/22.24 (assume a2026 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) C_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) C_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) C_1)) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))))))))))
% 22.01/22.24 (assume a2027 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number X_a)) (forall ((B_1 $$unsorted) (W_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) A_2)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))) B_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))))))
% 22.01/22.24 (assume a2028 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number_ring X_a)) (forall ((R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) R_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) R_1)))))))
% 22.01/22.24 (assume a2029 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number_ring X_a)) (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) R_4)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) R_4) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.24 (assume a2030 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a2031 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) Y)))))
% 22.01/22.24 (assume a2032 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a2033 (forall ((P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4))))))
% 22.01/22.24 (assume a2034 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (forall ((A_3 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) A_3)) B_1)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) B_1)))))))))
% 22.01/22.24 (assume a2035 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (forall ((X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) A_3))))))))
% 22.01/22.24 (assume a2036 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) B_2))))))))
% 22.01/22.24 (assume a2037 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (forall ((V_1 $$unsorted) (U_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) U_1) A_3)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) V_1) U_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) V_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) A_3)))))))))
% 22.01/22.24 (assume a2038 (forall ((U $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) U)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) U) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) U)))))
% 22.01/22.24 (assume a2039 (forall ((X_a $$unsorted)) (=> (tptp.comple1803745165norder X_a) (forall ((A_2 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) S))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) X_2)))))))))
% 22.01/22.24 (assume a2040 (forall ((X_a $$unsorted)) (=> (and (tptp.linord1117847801e_zero X_a) (tptp.number_ring X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a2041 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) B)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B) A_1)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a2042 (forall ((B $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) B) A_1)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B) A_1)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.24 (assume a2043 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X)))
% 22.01/22.24 (assume a2044 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) Y_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Z))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) Y_1) Z)))))
% 22.01/22.24 (assume a2045 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((N $$unsorted) (Z_1 $$unsorted) (K_5 $$unsorted) (H_2 $$unsorted)) (=> (not (= (tptp.ti X_a H_2) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Z_1)) K_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) H_2))) K_5)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z_1) H_2)) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) N))) H_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.semiring_1_of_nat tptp.real) N)) (tptp.hAPP tptp.nat tptp.real (tptp.semiring_1_of_nat tptp.real) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) K_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) H_2)))))))))))
% 22.01/22.24 (assume a2046 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) A_1)))))))
% 22.01/22.24 (assume a2047 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((N $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat tptp.real (tptp.semiring_1_of_nat tptp.real) N))))))
% 22.01/22.24 (assume a2048 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.zero_zero X_a)) (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a2049 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1) (tptp.zero_zero tptp.real)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a2050 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y)))))))
% 22.01/22.24 (assume a2051 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)))))))
% 22.01/22.24 (assume a2052 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) (tptp.zero_zero tptp.real))))))))
% 22.01/22.24 (assume a2053 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.one_one X_a)) (tptp.one_one tptp.real)))))
% 22.01/22.24 (assume a2054 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) N))))))
% 22.01/22.24 (assume a2055 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.real_normed_field X_a)) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B)))))))
% 22.01/22.24 (assume a2056 (forall ((B $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) B) A_1))) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) B))) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) A_1)))))
% 22.01/22.24 (assume a2057 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) C) (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y)))) (= (tptp.ti X_a X) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a2058 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.zero_zero tptp.real))) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a2059 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1))) (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a2060 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y))))))))
% 22.01/22.24 (assume a2061 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y $$unsorted) (S_3 $$unsorted) (X $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y)) S_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) S_3)))))))))
% 22.01/22.24 (assume a2062 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B))))))))
% 22.01/22.24 (assume a2063 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y))))))))
% 22.01/22.24 (assume a2064 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Y $$unsorted) (S_3 $$unsorted) (X $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Y)) S_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_4) S_3)))))))))
% 22.01/22.24 (assume a2065 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B))))))))
% 22.01/22.24 (assume a2066 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)) N)))))))
% 22.01/22.24 (assume a2067 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B))) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B))))))))
% 22.01/22.24 (assume a2068 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B))) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))))))))
% 22.01/22.24 (assume a2069 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) C))) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) D)))))))))
% 22.01/22.24 (assume a2070 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))))))
% 22.01/22.24 (assume a2071 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K) L)) (exists ((N_2 $$unsorted)) (= L (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) N_2))))))
% 22.01/22.24 (assume a2072 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2))) A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2))) B_1)))))
% 22.01/22.24 (assume a2073 (forall ((X_a $$unsorted)) (=> (tptp.real_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (H_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) D))) H_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) D)) H_2))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) C)) H_2)) D)))))))
% 22.01/22.24 (assume a2074 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2075 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2076 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2077 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2)))))))))
% 22.01/22.24 (assume a2078 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2079 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2)))))))))
% 22.01/22.24 (assume a2080 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2081 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.24 (assume a2082 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2)))))))))
% 22.01/22.24 (assume a2083 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (exists ((K_2 $$unsorted)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2))))))))
% 22.01/22.24 (assume a2084 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y $$unsorted)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_2) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2)))))))))
% 22.01/22.24 (assume a2085 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2)))))))))
% 22.01/22.24 (assume a2086 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2))) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)))))))
% 22.01/22.24 (assume a2087 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2)))))))
% 22.01/22.24 (assume a2088 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2)))))))
% 22.01/22.24 (assume a2089 (forall ((X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))))))
% 22.01/22.24 (assume a2090 (forall ((X_a $$unsorted)) (=> (tptp.finite_finite X_a) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))))))
% 22.01/22.24 (assume a2091 (forall ((X_a $$unsorted)) (=> (tptp.finite_finite X_a) (forall ((A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))))))
% 22.01/22.24 (assume a2092 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))))))
% 22.01/22.24 (assume a2093 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))))))
% 22.01/22.24 (assume a2094 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))))))
% 22.01/22.24 (assume a2095 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a2096 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2)))))))
% 22.01/22.24 (assume a2097 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a tptp.bool)) A_3)))))
% 22.01/22.24 (assume a2098 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)))))
% 22.01/22.24 (assume a2099 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)))))))
% 22.01/22.24 (assume a2100 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) B_2)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))) (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)))))))
% 22.01/22.24 (assume a2101 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a tptp.bool)) A_3)) (=> (forall ((M_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) M_3) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) M_3)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3)))))))
% 22.01/22.24 (assume a2102 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (=> (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3))) (= (tptp.one_one tptp.nat) (tptp.zero_zero tptp.nat))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3) (tptp.zero_zero tptp.nat))))))
% 22.01/22.24 (assume a2103 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.arctan X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))))
% 22.01/22.24 (assume a2104 (forall ((X_a $$unsorted) (A_3 $$unsorted) (C_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_3) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) C_2))) (not (forall ((X_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_3) X_4)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) X_4) C_2)))))))))
% 22.01/22.24 (assume a2105 (forall ((Ma $$unsorted) (No_1 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) (tptp.hAPP tptp.nat tptp.real F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F Ma)) (tptp.hAPP tptp.nat tptp.real F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) No_1)))))))
% 22.01/22.24 (assume a2106 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan X)) (tptp.hAPP tptp.real tptp.real tptp.arctan Y))))))
% 22.01/22.24 (assume a2107 (= (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.24 (assume a2108 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan X)) (tptp.hAPP tptp.real tptp.real tptp.arctan Y))))))
% 22.01/22.24 (assume a2109 (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N)))))))
% 22.01/22.24 (assume a2110 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.ord X_a) (tptp.real_normed_vector X_b)) (forall ((X_3 $$unsorted) (M_1 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) M_1) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b X_3 M_1)) (tptp.hAPP X_a X_b X_3 N_2)))) (tptp.one_one tptp.real))))) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) M_1) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 N_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 M_1))))))))))))
% 22.01/22.24 (assume a2111 (forall ((Y $$unsorted) (X $$unsorted) (U $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) U) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) U) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) U))))))
% 22.01/22.24 (assume a2112 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.one_one tptp.real)))))
% 22.01/22.24 (assume a2113 (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N)))))))
% 22.01/22.24 (assume a2114 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)))))))
% 22.01/22.24 (assume a2115 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)))))))
% 22.01/22.24 (assume a2116 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) N))))))
% 22.01/22.24 (assume a2117 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Ma $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Ma) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) K))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Ma) K)))))))
% 22.01/22.24 (assume a2118 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Ma $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) Ma)) K)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Ma) K)))))))
% 22.01/22.24 (assume a2119 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((L_4 $$unsorted) (K_4 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) L_4) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) K_4)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) L_4) K_4)))))))
% 22.01/22.24 (assume a2120 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B)))))))
% 22.01/22.24 (assume a2121 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))
% 22.01/22.24 (assume a2122 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a2123 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.24 (assume a2124 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1))))))
% 22.01/22.24 (assume a2125 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a2126 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B)))))))
% 22.01/22.24 (assume a2127 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1))))))
% 22.01/22.24 (assume a2128 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B)))))))
% 22.01/22.24 (assume a2129 (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4))))
% 22.01/22.24 (assume a2130 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) A_1)))))))
% 22.01/22.24 (assume a2131 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1))))))
% 22.01/22.24 (assume a2132 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.ti X_a A_1)))))))
% 22.01/22.24 (assume a2133 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_2)) (tptp.zero_zero X_a))) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.24 (assume a2134 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)))))))
% 22.01/22.24 (assume a2135 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a2136 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_2))) (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.24 (assume a2137 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.ti X_a A_1)))))))
% 22.01/22.24 (assume a2138 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B)) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C) D)))))))))
% 22.01/22.24 (assume a2139 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))))))))
% 22.01/22.24 (assume a2140 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B)))) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))))))))
% 22.01/22.24 (assume a2141 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))))))))
% 22.01/22.24 (assume a2142 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) A_1))))))))
% 22.01/22.24 (assume a2143 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))))))))
% 22.01/22.24 (assume a2144 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) X)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X))))
% 22.01/22.24 (assume a2145 (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.nat)))
% 22.01/22.24 (assume a2146 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)))))
% 22.01/22.24 (assume a2147 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) (tptp.hAPP tptp.real tptp.nat tptp.natfloor Y))))))
% 22.01/22.24 (assume a2148 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N))))
% 22.01/22.24 (assume a2149 (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.one_one tptp.real)) (tptp.one_one tptp.nat)))
% 22.01/22.24 (assume a2150 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ring_abs X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (and (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a)))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) (tptp.zero_zero X_a))))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))))))))
% 22.01/22.24 (assume a2151 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) Y)) X) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y) X))))))))
% 22.01/22.24 (assume a2152 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) N)))))))
% 22.01/22.24 (assume a2153 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) C) D)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) C))) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) D)))))))))
% 22.01/22.24 (assume a2154 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) B))))))))
% 22.01/22.24 (assume a2155 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (A_2 $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_1) A_2))) R_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) R_1)) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) R_1)))))))))
% 22.01/22.24 (assume a2156 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) Y)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) X)) Y) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y))))))))
% 22.01/22.24 (assume a2157 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) (tptp.one_one X_a)))))
% 22.01/22.24 (assume a2158 (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.nat)))
% 22.01/22.24 (assume a2159 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)))))
% 22.01/22.24 (assume a2160 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) (tptp.hAPP tptp.real tptp.nat tptp.natceiling Y))))))
% 22.01/22.24 (assume a2161 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N))))
% 22.01/22.24 (assume a2162 (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.one_one tptp.real)) (tptp.one_one tptp.nat)))
% 22.01/22.24 (assume a2163 (forall ((X $$unsorted) (Y $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) C) (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)))) (= X (tptp.zero_zero tptp.real))))))
% 22.01/22.24 (assume a2164 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.real_n2089651433ebra_1 X_a)) (forall ((W $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) W)))))))
% 22.01/22.24 (assume a2165 (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.one_one tptp.real))) X)))))
% 22.01/22.24 (assume a2166 (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (= X Y) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) U)) V)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) U)) Y))) V))))))
% 22.01/22.24 (assume a2167 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor X) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a2168 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) N)) (tptp.one_one X_a))))))
% 22.01/22.24 (assume a2169 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X))))))
% 22.01/22.24 (assume a2170 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B)))) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))))))))
% 22.01/22.24 (assume a2171 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling X) (tptp.zero_zero tptp.nat)))))
% 22.01/22.24 (assume a2172 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a2173 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.24 (assume a2174 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X_1)))))
% 22.01/22.24 (assume a2175 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X_1)) (tptp.one_one tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a2176 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X))))
% 22.01/22.24 (assume a2177 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor A_1)) (tptp.hAPP tptp.real tptp.nat tptp.natfloor B))) (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) B))))))))
% 22.01/22.24 (assume a2178 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a2179 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.one_one tptp.real))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a2180 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a2181 (forall ((Y $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a2182 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan X)) (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)))))))))
% 22.01/22.24 (assume a2183 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.one_one tptp.real))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) (tptp.one_one tptp.nat))))))
% 22.01/22.24 (assume a2184 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N_1)) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1)) X_1)))))))
% 22.01/22.24 (assume a2185 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1))))))))
% 22.01/22.24 (assume a2186 (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) B)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y_2))) D_3)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_1) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_2) B)))))))))))
% 22.01/22.24 (assume a2187 (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) B)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y_2))) D_3)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_2) B)))))))))))
% 22.01/22.24 (assume a2188 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.24 (assume a2189 (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))))
% 22.01/22.24 (assume a2190 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2)))))))
% 22.01/22.24 (assume a2191 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2))))))
% 22.01/22.24 (assume a2192 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2))))))
% 22.01/22.24 (assume a2193 (forall ((X_a $$unsorted) (B_2 $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)))))))
% 22.01/22.24 (assume a2194 (not (= tptp.pi (tptp.zero_zero tptp.real))))
% 22.01/22.24 (assume a2195 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M))))
% 22.01/22.24 (assume a2196 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) B) A_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B))))))
% 22.01/22.24 (assume a2197 (forall ((D $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) D)) D))))
% 22.01/22.24 (assume a2198 (forall ((D $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) D)))))
% 22.01/22.24 (assume a2199 (forall ((M $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N)) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) M) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a2200 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) tptp.pi)))
% 22.01/22.24 (assume a2201 (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) tptp.pi) (tptp.zero_zero tptp.real)))))
% 22.01/22.24 (assume a2202 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) tptp.pi)))
% 22.01/22.24 (assume a2203 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) X_1) (tptp.one_one tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X_1) (tptp.one_one tptp.int)))))
% 22.01/22.24 (assume a2204 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))))
% 22.01/22.24 (assume a2205 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) X)))))
% 22.01/22.24 (assume a2206 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)) (= (= (tptp.hAPP tptp.real tptp.real tptp.ln X_1) (tptp.hAPP tptp.real tptp.real tptp.ln Y_1)) (= X_1 Y_1))))))
% 22.01/22.24 (assume a2207 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X_1)) (tptp.hAPP tptp.real tptp.real tptp.ln Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)))))))
% 22.01/22.24 (assume a2208 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Y) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y))))))
% 22.01/22.24 (assume a2209 (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.one_one tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.24 (assume a2210 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.ln X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.one_one tptp.real))) (= X (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a2211 (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Z)) (tptp.one_one tptp.int))) (= (tptp.ti tptp.int Z) (tptp.zero_zero tptp.int)))))
% 22.01/22.24 (assume a2212 (forall ((D $$unsorted) (I_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int I_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D) I_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) D)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) I_1)))))))
% 22.01/22.24 (assume a2213 (forall ((X $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) N)))))
% 22.01/22.24 (assume a2214 (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) W))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Z_1))))))
% 22.01/22.24 (assume a2215 (forall ((Z $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Z) (tptp.one_one tptp.int)) (or (= (tptp.ti tptp.int Z) (tptp.one_one tptp.int)) (= (tptp.ti tptp.int Z) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1))))))
% 22.01/22.24 (assume a2216 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X_1)) (tptp.hAPP tptp.real tptp.real tptp.ln Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)))))))
% 22.01/22.24 (assume a2217 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.24 (assume a2218 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.24 (assume a2219 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X_1))))))
% 22.01/22.24 (assume a2220 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (= (tptp.hAPP tptp.real tptp.real tptp.ln X_1) (tptp.zero_zero tptp.real)) (= X_1 (tptp.one_one tptp.real))))))
% 22.01/22.24 (assume a2221 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real)))))))
% 22.01/22.24 (assume a2222 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.zero_zero tptp.real)))))))
% 22.01/22.24 (assume a2223 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X))))))
% 22.01/22.24 (assume a2224 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)) (not (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3))))))))
% 22.01/22.25 (assume a2225 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) C_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) C_2))))))
% 22.01/22.25 (assume a2226 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) B_2))))))
% 22.01/22.25 (assume a2227 (forall ((X_a $$unsorted) (B_2 $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) B_2))))))
% 22.01/22.25 (assume a2228 (forall ((X_a $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) B_2))))))
% 22.01/22.25 (assume a2229 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)))))
% 22.01/22.25 (assume a2230 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)))))
% 22.01/22.25 (assume a2231 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3))))))
% 22.01/22.25 (assume a2232 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) A_3))))
% 22.01/22.25 (assume a2233 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3))) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combb tptp.bool tptp.bool X_a) tptp.fNot) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) B_2)))))))
% 22.01/22.25 (assume a2234 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2)))))))
% 22.01/22.25 (assume a2235 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) B_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))))
% 22.01/22.25 (assume a2236 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)))))
% 22.01/22.25 (assume a2237 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2))))))
% 22.01/22.25 (assume a2238 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a2239 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X_1)) N_1))) (or (not (= (tptp.ti tptp.int X_1) (tptp.zero_zero tptp.int))) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a2240 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2241 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (not (= (tptp.ti tptp.int Ma) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Ma) N_1)) Ma)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) N_1) (tptp.one_one tptp.int))))))
% 22.01/22.25 (assume a2242 (forall ((Z $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Z) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Z))) Ma)))))
% 22.01/22.25 (assume a2243 (forall ((Ma $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) Z)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Ma) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Z)))))))
% 22.01/22.25 (assume a2244 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) B_2))))))
% 22.01/22.25 (assume a2245 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) B_2) C_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) C_2))))))
% 22.01/22.25 (assume a2246 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X))))))
% 22.01/22.25 (assume a2247 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.ln X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X_1))))))
% 22.01/22.25 (assume a2248 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.hAPP tptp.real tptp.real tptp.ln Y)))))))
% 22.01/22.25 (assume a2249 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))) X)))))
% 22.01/22.25 (assume a2250 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.hAPP tptp.real tptp.real tptp.ln Y)))))))
% 22.01/22.25 (assume a2251 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))) X)))))
% 22.01/22.25 (assume a2252 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B_1)))))
% 22.01/22.25 (assume a2253 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2254 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi)))
% 22.01/22.25 (assume a2255 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2256 (not (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2257 (forall ((A_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1) (tptp.one_one tptp.int)))))
% 22.01/22.25 (assume a2258 (forall ((X $$unsorted) (Z_1 $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Z_1))) (tptp.one_one tptp.int))) D))) Z_1)))))
% 22.01/22.25 (assume a2259 (forall ((Z_1 $$unsorted) (X $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Z_1))) (tptp.one_one tptp.int))) D)))))))
% 22.01/22.25 (assume a2260 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2261 (not (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2262 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2263 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2264 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2265 (forall ((Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2266 (= (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2267 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) A_3))))
% 22.01/22.25 (assume a2268 (forall ((X_a $$unsorted) (D_2 $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted) (C_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) C_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) D_2) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) C_2) D_2)))))))
% 22.01/22.25 (assume a2269 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) C_2)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) B_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) C_2) A_3)) (tptp.ti (tptp.fun X_a tptp.bool) A_3))))))
% 22.01/22.25 (assume a2270 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))))))))
% 22.01/22.25 (assume a2271 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (not (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)))))))
% 22.01/22.25 (assume a2272 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (or (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2))))))
% 22.01/22.25 (assume a2273 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)))))
% 22.01/22.25 (assume a2274 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) C_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) C_2))))))
% 22.01/22.25 (assume a2275 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) B_2) C_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) C_2))))))
% 22.01/22.25 (assume a2276 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))) X))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2277 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Y_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N_2) X_1))))) X_1)))))))
% 22.01/22.25 (assume a2278 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) X)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N_2) X))))) X))))))
% 22.01/22.25 (assume a2279 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X))) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2280 (forall ((K $$unsorted) (F $$unsorted) (N_1 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_2) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.nat tptp.int F I_2)))) (tptp.one_one tptp.int))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int F (tptp.zero_zero tptp.nat))) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) (tptp.hAPP tptp.nat tptp.int F N_1))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_2) N_1)) (= (tptp.hAPP tptp.nat tptp.int F I_2) (tptp.ti tptp.int K)))))))))
% 22.01/22.25 (assume a2281 (forall ((K $$unsorted) (F $$unsorted) (N_1 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_2) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.nat tptp.int F I_2)))) (tptp.one_one tptp.int))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int F (tptp.zero_zero tptp.nat))) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) (tptp.hAPP tptp.nat tptp.int F N_1))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_2) N_1)) (= (tptp.hAPP tptp.nat tptp.int F I_2) (tptp.ti tptp.int K)))))))))
% 22.01/22.25 (assume a2282 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1))))))
% 22.01/22.25 (assume a2283 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (A_6 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_6) B)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_6)) B)))))))
% 22.01/22.25 (assume a2284 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_mod X_a) A_1) B))) B))))))
% 22.01/22.25 (assume a2285 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X))))))
% 22.01/22.25 (assume a2286 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))))))))
% 22.01/22.25 (assume a2287 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) A_2)))))))
% 22.01/22.25 (assume a2288 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))
% 22.01/22.25 (assume a2289 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) Y) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))
% 22.01/22.25 (assume a2290 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B))))))
% 22.01/22.25 (assume a2291 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B))))))
% 22.01/22.25 (assume a2292 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2293 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2) (tptp.ti X_a A_2)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2294 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2295 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2296 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (= (tptp.zero_zero X_a) (tptp.ti X_a A_2)))))))
% 22.01/22.25 (assume a2297 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a2298 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))))))))
% 22.01/22.25 (assume a2299 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) A_2)))))))
% 22.01/22.25 (assume a2300 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)))))))
% 22.01/22.25 (assume a2301 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1))))))))
% 22.01/22.25 (assume a2302 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2303 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B))))))
% 22.01/22.25 (assume a2304 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2305 (forall ((X_a $$unsorted)) (=> (tptp.ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))))))
% 22.01/22.25 (assume a2306 (forall ((X_a $$unsorted)) (=> (tptp.idom X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B_1) B_1)) (or (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)) (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1))))))))
% 22.01/22.25 (assume a2307 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) Y) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)))))))
% 22.01/22.25 (assume a2308 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))
% 22.01/22.25 (assume a2309 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Xa_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) X)))))))
% 22.01/22.25 (assume a2310 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))
% 22.01/22.25 (assume a2311 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)))))))
% 22.01/22.25 (assume a2312 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.25 (assume a2313 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.ti X_a A_1))))))
% 22.01/22.25 (assume a2314 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) (= (tptp.ti X_a B_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)))))))
% 22.01/22.25 (assume a2315 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2) (tptp.ti X_a B_1)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1) (tptp.ti X_a A_2)))))))
% 22.01/22.25 (assume a2316 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)))))))
% 22.01/22.25 (assume a2317 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W))) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W))) Z_1))))))
% 22.01/22.25 (assume a2318 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X_1) Y_1)))))))
% 22.01/22.25 (assume a2319 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) X_1) Y_1)))))))
% 22.01/22.25 (assume a2320 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.ti X_a B))))))
% 22.01/22.25 (assume a2321 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B)) (tptp.ti X_a B))))))
% 22.01/22.25 (assume a2322 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)))))))
% 22.01/22.25 (assume a2323 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2324 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)))))))
% 22.01/22.25 (assume a2325 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) A_1))))))
% 22.01/22.25 (assume a2326 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)))))
% 22.01/22.25 (assume a2327 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan X)))))
% 22.01/22.25 (assume a2328 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2329 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2330 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2331 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2332 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2333 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2334 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2335 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2336 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1) Y_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a Y_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)))))))
% 22.01/22.25 (assume a2337 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.zero_zero X_a))))))
% 22.01/22.25 (assume a2338 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2339 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.25 (assume a2340 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) A_1) (tptp.zero_zero X_a))))))
% 22.01/22.25 (assume a2341 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B) (tptp.zero_zero X_a)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1) (tptp.ti X_a B)))))))
% 22.01/22.25 (assume a2342 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.zero_zero X_a)) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1))))))
% 22.01/22.25 (assume a2343 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) X))))))
% 22.01/22.25 (assume a2344 (forall ((X_a $$unsorted)) (=> (tptp.ring_11004092258visors X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) X_1) (tptp.one_one X_a)) (or (= (tptp.ti X_a X_1) (tptp.one_one X_a)) (= (tptp.ti X_a X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a2345 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)))))))
% 22.01/22.25 (assume a2346 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B))))))
% 22.01/22.25 (assume a2347 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2348 (forall ((X_a $$unsorted)) (=> (tptp.group_add X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)))))))
% 22.01/22.25 (assume a2349 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B))))))))
% 22.01/22.25 (assume a2350 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)))))))
% 22.01/22.25 (assume a2351 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)))))))
% 22.01/22.25 (assume a2352 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_2)) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) B_1))))))))
% 22.01/22.25 (assume a2353 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) B))))))))
% 22.01/22.25 (assume a2354 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) B)))))))
% 22.01/22.25 (assume a2355 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_2)) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) B_1))))))))
% 22.01/22.25 (assume a2356 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) N)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))
% 22.01/22.25 (assume a2357 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Y) X)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) Y) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) Y))))))))
% 22.01/22.25 (assume a2358 (forall ((X_a $$unsorted)) (=> (tptp.ring_div X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) Y) X)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.div_div X_a) X) Y))))))))
% 22.01/22.25 (assume a2359 (forall ((U $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) U) U))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) X)))))
% 22.01/22.25 (assume a2360 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_2)) (tptp.zero_zero tptp.real)) (= X_1 A_2))))
% 22.01/22.25 (assume a2361 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1) (tptp.zero_zero tptp.real)) (= Y_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1)))))
% 22.01/22.25 (assume a2362 (forall ((X_1 $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) R_1)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) R_1)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) R_1))))))
% 22.01/22.25 (assume a2363 (forall ((R_4 $$unsorted) (S_3 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) R_4) S_3) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) S_3)))))
% 22.01/22.25 (assume a2364 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) Y)))))
% 22.01/22.25 (assume a2365 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) Y))) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X))))))
% 22.01/22.25 (assume a2366 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X))) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X)))))
% 22.01/22.25 (assume a2367 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)))))))
% 22.01/22.25 (assume a2368 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1))) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2369 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) N) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)))))))
% 22.01/22.25 (assume a2370 (forall ((X_a $$unsorted)) (=> (tptp.abs_if X_a) (forall ((A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a)))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.ti X_a A_1))))))))
% 22.01/22.25 (assume a2371 (forall ((X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)))))))
% 22.01/22.25 (assume a2372 (forall ((X_a $$unsorted)) (=> (tptp.idom X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (or (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)) (= (tptp.ti X_a X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1))))))))
% 22.01/22.25 (assume a2373 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) Z_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Z_1))))))
% 22.01/22.25 (assume a2374 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Z_1))))))
% 22.01/22.25 (assume a2375 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)))))
% 22.01/22.25 (assume a2376 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))))))
% 22.01/22.25 (assume a2377 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number_ring X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))))))
% 22.01/22.25 (assume a2378 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1)) Y_1)))))
% 22.01/22.25 (assume a2379 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1))))))
% 22.01/22.25 (assume a2380 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1))))))
% 22.01/22.25 (assume a2381 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1)) Y_1)))))
% 22.01/22.25 (assume a2382 (forall ((A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) A_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) (tptp.zero_zero tptp.real)))) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) A_1) A_1)))))
% 22.01/22.25 (assume a2383 (forall ((R_4 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) R_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.zero_zero tptp.real)))) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4) R_4)))))
% 22.01/22.25 (assume a2384 (forall ((X $$unsorted) (Y $$unsorted) (L_4 $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) L_4)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) M))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) L_4)))) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) M))))))))
% 22.01/22.25 (assume a2385 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.linordered_idom X_a)) (forall ((X $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X)) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X)))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X)) (tptp.zero_zero X_a)))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X))))))))
% 22.01/22.25 (assume a2386 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.number_ring X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) X)))))))
% 22.01/22.25 (assume a2387 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2388 (forall ((X_a $$unsorted)) (=> (tptp.ring_11004092258visors X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.one_one X_a)) (or (= (tptp.ti X_a A_2) (tptp.one_one X_a)) (= (tptp.ti X_a A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a2389 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))))
% 22.01/22.25 (assume a2390 (forall ((U $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) U) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2391 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) X))) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)))))))
% 22.01/22.25 (assume a2392 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) X)))))))))
% 22.01/22.25 (assume a2393 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)) (tptp.one_one X_a))))))
% 22.01/22.25 (assume a2394 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi))) tptp.pi)))
% 22.01/22.25 (assume a2395 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N))) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2396 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2397 (forall ((Y $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arctan Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2398 (forall ((Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arctan Y)))))
% 22.01/22.25 (assume a2399 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) X))))))))
% 22.01/22.25 (assume a2400 (forall ((K $$unsorted) (F $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) I_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) I_2) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.nat tptp.int F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_2) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.nat tptp.int F I_2)))) (tptp.one_one tptp.int))))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int F Ma)) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) (tptp.hAPP tptp.nat tptp.int F N_1))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) I_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_2) N_1)) (= (tptp.hAPP tptp.nat tptp.int F I_2) (tptp.ti tptp.int K))))))))))
% 22.01/22.25 (assume a2401 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2402 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2403 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)))))))
% 22.01/22.25 (assume a2404 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2405 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)))))
% 22.01/22.25 (assume a2406 (forall ((N $$unsorted) (M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)))))
% 22.01/22.25 (assume a2407 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)))))
% 22.01/22.25 (assume a2408 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) B_2)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3))))))
% 22.01/22.25 (assume a2409 (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) tptp.pls) tptp.pls))
% 22.01/22.25 (assume a2410 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K_4)))))
% 22.01/22.25 (assume a2411 (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))
% 22.01/22.25 (assume a2412 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1)) W) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) W)))))
% 22.01/22.25 (assume a2413 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)))))
% 22.01/22.25 (assume a2414 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)))))
% 22.01/22.25 (assume a2415 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1)) (tptp.ti tptp.int Z_1))))
% 22.01/22.25 (assume a2416 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Ma))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)))))
% 22.01/22.25 (assume a2417 (forall ((D_1 $$unsorted) (Ta $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) D_1)) Ta)))))
% 22.01/22.25 (assume a2418 (forall ((D_1 $$unsorted) (Ta $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Ta))))))
% 22.01/22.25 (assume a2419 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B))))
% 22.01/22.25 (assume a2420 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))))
% 22.01/22.25 (assume a2421 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B)))))
% 22.01/22.25 (assume a2422 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)))))
% 22.01/22.25 (assume a2423 (forall ((X $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) M))) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X)) M))))
% 22.01/22.25 (assume a2424 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)))))
% 22.01/22.25 (assume a2425 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) X) Y) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) X) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) Y)))))
% 22.01/22.25 (assume a2426 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1)) Z_1) (tptp.zero_zero tptp.int))))
% 22.01/22.25 (assume a2427 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) (and (= N_1 (tptp.zero_zero tptp.nat)) (= Ma (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a2428 (forall ((N $$unsorted) (M $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) M)))))))
% 22.01/22.25 (assume a2429 (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))))
% 22.01/22.25 (assume a2430 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K_4)) L_4) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) L_4) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a2431 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) L_4)) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) L_4) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a2432 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) tptp.min_1) K_4) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K_4))))
% 22.01/22.25 (assume a2433 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z_1) W) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)))))
% 22.01/22.25 (assume a2434 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z_1) W))))
% 22.01/22.25 (assume a2435 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W))))))))
% 22.01/22.25 (assume a2436 (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))
% 22.01/22.25 (assume a2437 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)))) (and (= N_1 (tptp.zero_zero tptp.nat)) (= Ma (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a2438 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a2439 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))) (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a2440 (forall ((I_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) I_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) I_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_1) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) I_1) (tptp.ti tptp.int I_1))))))
% 22.01/22.25 (assume a2441 (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W))))))
% 22.01/22.25 (assume a2442 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)) B))))))
% 22.01/22.25 (assume a2443 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B)))))))
% 22.01/22.25 (assume a2444 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1))))
% 22.01/22.25 (assume a2445 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))))))
% 22.01/22.25 (assume a2446 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted) (C $$unsorted) (W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) C) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W)))) C))))))
% 22.01/22.25 (assume a2447 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a2448 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))))
% 22.01/22.25 (assume a2449 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2450 (forall ((Z_4 $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) Z_4)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_4)))))))
% 22.01/22.25 (assume a2451 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (and (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)))) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))) (tptp.one_one tptp.int))))))))
% 22.01/22.25 (assume a2452 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (and (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)))) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))) (tptp.one_one tptp.int))))))))
% 22.01/22.25 (assume a2453 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zEven)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_2)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_2) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)))))))
% 22.01/22.25 (assume a2454 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_2)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_2) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))))))))
% 22.01/22.25 (assume a2455 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Q_2 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_2) R_1))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_2)) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) R_1) (tptp.zero_zero tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Q_2)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Q_2)) (tptp.one_one tptp.int)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) R_1) (tptp.zero_zero tptp.int))) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) B_1) R_1))))))))
% 22.01/22.25 (assume a2456 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2457 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) W))))))))
% 22.01/22.25 (assume a2458 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X) (tptp.zero_zero tptp.int))) (exists ((N_2 $$unsorted)) (= (tptp.ti tptp.int X) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))))))
% 22.01/22.25 (assume a2459 (forall ((X $$unsorted)) (=> (not (= X (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X)) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real tptp.arctan X))))))
% 22.01/22.25 (assume a2460 (forall ((X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)))))
% 22.01/22.25 (assume a2461 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arcsin X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2462 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) X)))))
% 22.01/22.25 (assume a2463 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3))))))
% 22.01/22.25 (assume a2464 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combb tptp.bool tptp.bool X_a) tptp.fNot) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3))))))
% 22.01/22.25 (assume a2465 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3)) (tptp.ti (tptp.fun X_a tptp.bool) A_3))))
% 22.01/22.25 (assume a2466 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3))))))
% 22.01/22.25 (assume a2467 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) B_2)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)))))
% 22.01/22.25 (assume a2468 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3))))))
% 22.01/22.25 (assume a2469 (forall ((X_a $$unsorted) (C_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) C_1) A_3))))))
% 22.01/22.25 (assume a2470 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real tptp.cos X))))
% 22.01/22.25 (assume a2471 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_1)) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_1))))))
% 22.01/22.25 (assume a2472 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2473 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a2474 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2475 (forall ((X_a $$unsorted)) (=> (tptp.sgn_if X_a) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a2476 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) Y)))))))
% 22.01/22.25 (assume a2477 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_1)) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) B)))))))
% 22.01/22.25 (assume a2478 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))))
% 22.01/22.25 (assume a2479 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)))))))
% 22.01/22.25 (assume a2480 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2481 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2482 (forall ((X $$unsorted)) (not (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arctan X)) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a2483 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2484 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2485 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)))))
% 22.01/22.25 (assume a2486 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((K_4 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) K_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) K_4) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) K_4)))))))
% 22.01/22.25 (assume a2487 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) X)) (tptp.ti X_a X))))))
% 22.01/22.25 (assume a2488 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) tptp.pi)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))))))))
% 22.01/22.25 (assume a2489 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))
% 22.01/22.25 (assume a2490 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X))) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2491 (= (tptp.hAPP tptp.real tptp.real tptp.cos tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))
% 22.01/22.25 (assume a2492 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) tptp.pi)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))
% 22.01/22.25 (assume a2493 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2494 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_2) (tptp.one_one X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2495 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_1) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2496 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) tptp.pi)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))))))))
% 22.01/22.25 (assume a2497 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos Y)) (tptp.hAPP tptp.real tptp.real tptp.cos X))))))))
% 22.01/22.25 (assume a2498 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))))
% 22.01/22.25 (assume a2499 (forall ((X $$unsorted)) (and (=> (= X (tptp.zero_zero tptp.real)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.zero_zero tptp.real))) (=> (not (= X (tptp.zero_zero tptp.real))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.one_one tptp.real))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X))) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.one_one tptp.real)))))))))
% 22.01/22.25 (assume a2500 (forall ((A_1 $$unsorted)) (and (=> (= A_1 (tptp.zero_zero tptp.real)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) A_1) (tptp.zero_zero tptp.real))) (=> (not (= A_1 (tptp.zero_zero tptp.real))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) A_1) (tptp.one_one tptp.real))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1))) (= (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) A_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.one_one tptp.real)))))))))
% 22.01/22.25 (assume a2501 (not (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2502 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2503 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))))))))
% 22.01/22.25 (assume a2504 (forall ((X_a $$unsorted)) (=> (tptp.sgn_if X_a) (forall ((X $$unsorted)) (and (=> (= (tptp.ti X_a X) (tptp.zero_zero X_a)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a X) (tptp.zero_zero X_a))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X) (tptp.one_one X_a))) (=> (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X))) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)))))))))))
% 22.01/22.25 (assume a2505 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos Y)) (tptp.hAPP tptp.real tptp.real tptp.cos X))))))))
% 22.01/22.25 (assume a2506 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (and (=> (= (tptp.ti X_a X) (tptp.zero_zero X_a)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.ti X_a X) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)) (tptp.one_one tptp.real))))))))
% 22.01/22.25 (assume a2507 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2508 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2509 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2510 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi)) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2511 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.cos X))))
% 22.01/22.25 (assume a2512 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2513 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2514 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2515 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X))) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a2516 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))))
% 22.01/22.25 (assume a2517 (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.pi)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2518 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))))
% 22.01/22.25 (assume a2519 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))))
% 22.01/22.25 (assume a2520 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) tptp.pi)) (= (tptp.hAPP tptp.real tptp.real tptp.cos X_2) Y) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_2) tptp.pi)) (= (tptp.hAPP tptp.real tptp.real tptp.cos Y_2) Y)) (= Y_2 X_2)))))))))
% 22.01/22.25 (assume a2521 (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= (tptp.hAPP tptp.real tptp.real tptp.cos X_2) (tptp.zero_zero tptp.real)) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_2) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= (tptp.hAPP tptp.real tptp.real tptp.cos Y_2) (tptp.zero_zero tptp.real))) (= Y_2 X_2))))))
% 22.01/22.25 (assume a2522 (forall ((X $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.tan X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2523 (forall ((X_5 $$unsorted) (Y_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arccos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X_5) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_5) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_4) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X_5) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_5) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_4) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2524 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)))))
% 22.01/22.25 (assume a2525 (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2526 (forall ((Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) Y)))
% 22.01/22.25 (assume a2527 (= (tptp.hAPP tptp.real tptp.real tptp.tan tptp.pi) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2528 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) tptp.pi)) (tptp.hAPP tptp.real tptp.real tptp.tan X))))
% 22.01/22.25 (assume a2529 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N)) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.tan X))))
% 22.01/22.25 (assume a2530 (forall ((I_1 $$unsorted)) (and (=> (= (tptp.ti tptp.int I_1) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) I_1) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int I_1) (tptp.zero_zero tptp.int))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) I_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) I_1) (tptp.one_one tptp.int))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) I_1))) (= (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) I_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))))))))
% 22.01/22.25 (assume a2531 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) tptp.pi)) (= (tptp.hAPP tptp.real tptp.real tptp.arccos (tptp.hAPP tptp.real tptp.real tptp.cos X)) X)))))
% 22.01/22.25 (assume a2532 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) Y))))
% 22.01/22.25 (assume a2533 (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2534 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.arccos Y)))))))
% 22.01/22.25 (assume a2535 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) Y)))))
% 22.01/22.25 (assume a2536 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) tptp.pi))))))
% 22.01/22.25 (assume a2537 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)) X)) (= (tptp.hAPP tptp.real tptp.real tptp.arccos (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X))))))
% 22.01/22.25 (assume a2538 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.tan X))))
% 22.01/22.25 (assume a2539 (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2540 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos Y) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.real tptp.real tptp.tan Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.real tptp.real tptp.tan Y))))))))))
% 22.01/22.25 (assume a2541 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos Y) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.real tptp.real tptp.tan Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))))))))
% 22.01/22.25 (assume a2542 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.tan X)))))))
% 22.01/22.25 (assume a2543 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.arccos Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) tptp.pi)))))))
% 22.01/22.25 (assume a2544 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan Y)) (tptp.hAPP tptp.real tptp.real tptp.tan X))))))))
% 22.01/22.25 (assume a2545 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_1) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan Y_1)) (tptp.hAPP tptp.real tptp.real tptp.tan X_1))))))))))
% 22.01/22.25 (assume a2546 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.arccos Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) tptp.pi)))))))
% 22.01/22.25 (assume a2547 (forall ((Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.tan Y)) (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) Y)))))
% 22.01/22.25 (assume a2548 (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2549 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2550 (forall ((Y $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arctan Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real tptp.arctan Y)) Y))))
% 22.01/22.25 (assume a2551 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.arctan (tptp.hAPP tptp.real tptp.real tptp.tan X)) X)))))
% 22.01/22.25 (assume a2552 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.arccos Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) tptp.pi)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) Y))))))
% 22.01/22.25 (assume a2553 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.one_one tptp.real))) (exists ((Z_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) Z_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Z_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan Z_2) X))))))
% 22.01/22.25 (assume a2554 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan X_2) Y))))))
% 22.01/22.25 (assume a2555 (forall ((Y $$unsorted)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan X_2) Y) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan Y_2) Y)) (= Y_2 X_2)))))))
% 22.01/22.25 (assume a2556 (forall ((Y $$unsorted)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan X_2) Y)))))
% 22.01/22.25 (assume a2557 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.hAPP tptp.real tptp.real tptp.tan X_2))))))))
% 22.01/22.25 (assume a2558 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.tan X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X))) (tptp.one_one tptp.real))))))))
% 22.01/22.25 (assume a2559 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) tptp.pi) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2560 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arccos X)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2561 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)))))
% 22.01/22.25 (assume a2562 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))
% 22.01/22.25 (assume a2563 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X))))
% 22.01/22.25 (assume a2564 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Ma)) (= N_1 Ma))))
% 22.01/22.25 (assume a2565 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2566 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) N)))
% 22.01/22.25 (assume a2567 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) N)))
% 22.01/22.25 (assume a2568 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) tptp.pi) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2569 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) tptp.pi)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2570 (= (tptp.real_1 tptp.nat) (tptp.semiring_1_of_nat tptp.real)))
% 22.01/22.25 (assume a2571 (= (tptp.real_1 tptp.nat) (tptp.semiring_1_of_nat tptp.real)))
% 22.01/22.25 (assume a2572 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2573 (forall ((N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1) (tptp.zero_zero tptp.real)) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2574 (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2575 (forall ((N $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2576 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma)))))
% 22.01/22.25 (assume a2577 (= (tptp.hAPP tptp.real tptp.real tptp.sin tptp.pi) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2578 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Ma))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) Ma)))))
% 22.01/22.25 (assume a2579 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)))))
% 22.01/22.25 (assume a2580 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)))))
% 22.01/22.25 (assume a2581 (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.one_one tptp.nat)) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2582 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) N) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) N)))))
% 22.01/22.25 (assume a2583 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) N))))
% 22.01/22.25 (assume a2584 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X))))))
% 22.01/22.25 (assume a2585 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) tptp.pi)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))))
% 22.01/22.25 (assume a2586 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) tptp.pi)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))))
% 22.01/22.25 (assume a2587 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.zero_zero tptp.real))) (= N_1 (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2588 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))
% 22.01/22.25 (assume a2589 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))))))
% 22.01/22.25 (assume a2590 (forall ((X $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.one_one tptp.real)) (= (tptp.hAPP tptp.real tptp.real tptp.sin X) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a2591 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X))) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2592 (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2593 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))))
% 22.01/22.25 (assume a2594 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos Y)) (tptp.hAPP tptp.real tptp.real tptp.sin X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin Y)) (tptp.hAPP tptp.real tptp.real tptp.cos X))))))
% 22.01/22.25 (assume a2595 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))))
% 22.01/22.25 (assume a2596 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2597 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) tptp.pi) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))
% 22.01/22.25 (assume a2598 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) tptp.pi)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))
% 22.01/22.25 (assume a2599 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))))))
% 22.01/22.25 (assume a2600 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X))))))
% 22.01/22.25 (assume a2601 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))
% 22.01/22.25 (assume a2602 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X))) X)))))
% 22.01/22.25 (assume a2603 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) (tptp.hAPP tptp.real tptp.nat tptp.natfloor A_1))))))
% 22.01/22.25 (assume a2604 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) A_1)))))
% 22.01/22.25 (assume a2605 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) tptp.pi)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2606 (forall ((N $$unsorted) (X $$unsorted)) (=> (= X (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X))) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) N)))))
% 22.01/22.25 (assume a2607 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))
% 22.01/22.25 (assume a2608 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.sin X))) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a2609 (forall ((X $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.sin X) (tptp.zero_zero tptp.real)) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2610 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos Y)) (tptp.hAPP tptp.real tptp.real tptp.cos X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin Y)) (tptp.hAPP tptp.real tptp.real tptp.sin X))))))
% 22.01/22.25 (assume a2611 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))))
% 22.01/22.25 (assume a2612 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))))
% 22.01/22.25 (assume a2613 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.one_one tptp.real))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Ma))))))
% 22.01/22.25 (assume a2614 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Ma)) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a2615 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) A_2) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_2)) X_1))))))
% 22.01/22.25 (assume a2616 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) tptp.pi)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2617 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X_1)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_2)))))))
% 22.01/22.25 (assume a2618 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X))) (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a2619 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.tan X))))
% 22.01/22.25 (assume a2620 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) A_1)))))
% 22.01/22.25 (assume a2621 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.one_one tptp.real))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X))))))
% 22.01/22.25 (assume a2622 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) A_1)))))
% 22.01/22.25 (assume a2623 (forall ((X $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2624 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((X_3 $$unsorted)) (= (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 N_2))) K_2))))) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 N_2))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_3)))))))))))
% 22.01/22.25 (assume a2625 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((X_3 $$unsorted)) (= (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 N_2))) K_2))))) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b X_3 N_2))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_3)))))))))))
% 22.01/22.25 (assume a2626 (forall ((N $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) D)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) N)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) D)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) D)))))))
% 22.01/22.25 (assume a2627 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.25 (assume a2628 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) N))))))
% 22.01/22.25 (assume a2629 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) X)))))))
% 22.01/22.25 (assume a2630 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.zero_zero tptp.real))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) V))))))
% 22.01/22.25 (assume a2631 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) X)))) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2632 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) A_1)))))
% 22.01/22.25 (assume a2633 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) Y)))))
% 22.01/22.25 (assume a2634 (forall ((Z_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor Z_1)) (tptp.one_one tptp.nat))) N)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Z_1) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))))))
% 22.01/22.25 (assume a2635 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor X) N)))))
% 22.01/22.25 (assume a2636 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) A_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natceiling X)) A_1)))))
% 22.01/22.25 (assume a2637 (forall ((X $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M)) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2638 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))))
% 22.01/22.25 (assume a2639 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) N))))
% 22.01/22.25 (assume a2640 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.sin X))) (tptp.hAPP tptp.real tptp.real tptp.cos X)))))
% 22.01/22.25 (assume a2641 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N)))))
% 22.01/22.25 (assume a2642 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (tptp.one_one tptp.real))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.one_one tptp.real))) N))))))
% 22.01/22.25 (assume a2643 (forall ((Y $$unsorted) (X $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real))) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos Y) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.real tptp.real tptp.tan Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))))))))
% 22.01/22.25 (assume a2644 (forall ((X $$unsorted) (D $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) D)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) X)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) D)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) D))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) D))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) D)))))))
% 22.01/22.25 (assume a2645 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) tptp.pi)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) N))))
% 22.01/22.25 (assume a2646 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) tptp.pi) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) N))))
% 22.01/22.25 (assume a2647 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2648 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.sin X))))
% 22.01/22.25 (assume a2649 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a2650 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2651 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2652 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2653 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) N)))))
% 22.01/22.25 (assume a2654 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Y)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) Y))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.real tptp.nat tptp.natfloor X)) Y))))))
% 22.01/22.25 (assume a2655 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a2656 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real tptp.sin X)))))))
% 22.01/22.25 (assume a2657 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.real tptp.real tptp.cos A_1))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.real tptp.real tptp.sin A_1))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) R_4) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a2658 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a2659 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a2660 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2661 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2662 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin Y)) (tptp.hAPP tptp.real tptp.real tptp.sin X))))))))
% 22.01/22.25 (assume a2663 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X)))))
% 22.01/22.25 (assume a2664 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin X) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X)))))
% 22.01/22.25 (assume a2665 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) tptp.pi)) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a2666 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2667 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2668 (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.pi)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a2669 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2670 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.arcsin (tptp.hAPP tptp.real tptp.real tptp.sin X)) X)))))
% 22.01/22.25 (assume a2671 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X)) (tptp.hAPP tptp.real tptp.real tptp.cos Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X)) (tptp.hAPP tptp.real tptp.real tptp.sin Y))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2672 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X))) (tptp.hAPP tptp.real tptp.real tptp.sin X))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X))) (tptp.hAPP tptp.real tptp.real tptp.cos X))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2673 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) Y)) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arccos Y)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2674 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) tptp.pi)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) Y))))))
% 22.01/22.25 (assume a2675 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arcsin Y)) Y))))))
% 22.01/22.25 (assume a2676 (forall ((X_5 $$unsorted) (Y_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real tptp.arccos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X_5) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_5) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_4) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X_5) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_5) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y_4) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2677 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y) (tptp.one_one tptp.real))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.sin X_2) Y) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= (tptp.hAPP tptp.real tptp.real tptp.sin Y_2) Y)) (= Y_2 X_2)))))))))
% 22.01/22.25 (assume a2678 (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) R_4)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_2) (tptp.one_one tptp.nat)))) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2))))))))
% 22.01/22.25 (assume a2679 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) Y)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) Y)))))))))
% 22.01/22.25 (assume a2680 (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) R_4)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))))))))
% 22.01/22.25 (assume a2681 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (forall ((Y_2 $$unsorted)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) X))))))))
% 22.01/22.25 (assume a2682 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real)) N)) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a2683 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real tptp.sin X_1) (tptp.zero_zero tptp.real)) (or (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2)) (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2)) (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))))
% 22.01/22.25 (assume a2684 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.zero_zero tptp.real)) (or (exists ((N_2 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2))) (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (exists ((N_2 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2))) (= X_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))))
% 22.01/22.25 (assume a2685 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1)))) (not (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Ma))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))))))))
% 22.01/22.25 (assume a2686 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1))) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))))))
% 22.01/22.25 (assume a2687 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) X_1) Y_1))) (or (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Y_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Y_1))))))))
% 22.01/22.25 (assume a2688 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a2689 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X_1))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1))))))
% 22.01/22.25 (assume a2690 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a2691 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Y_1))))))
% 22.01/22.25 (assume a2692 (forall ((N $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a2693 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) N)))))))))
% 22.01/22.25 (assume a2694 (forall ((N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)))))
% 22.01/22.25 (assume a2695 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) N) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) N) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)))))))))
% 22.01/22.25 (assume a2696 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) N) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)))))))
% 22.01/22.25 (assume a2697 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) N) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))))))))
% 22.01/22.25 (assume a2698 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) X)) N) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)))))))
% 22.01/22.25 (assume a2699 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_1) Y_1)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Y_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) Y_1))))))))
% 22.01/22.25 (assume a2700 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)))))
% 22.01/22.25 (assume a2701 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1))))))
% 22.01/22.25 (assume a2702 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))))))
% 22.01/22.25 (assume a2703 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))))))
% 22.01/22.25 (assume a2704 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1))))))))
% 22.01/22.25 (assume a2705 (forall ((X_a $$unsorted)) (=> (and (tptp.monoid_mult X_a) (tptp.linordered_ring X_a)) (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N))))))))
% 22.01/22.25 (assume a2706 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) N_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))))))))
% 22.01/22.25 (assume a2707 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1)))))))))
% 22.01/22.25 (assume a2708 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1)) (tptp.zero_zero X_a))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.25 (assume a2709 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) X) (tptp.one_one X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a2710 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) X) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2711 (forall ((X_a $$unsorted)) (=> (tptp.comm_ring_1 X_a) (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))))))))
% 22.01/22.25 (assume a2712 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) X)) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y) N)))))))))
% 22.01/22.25 (assume a2713 (forall ((X_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1))) (exists ((Y_2 $$unsorted)) (= X_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) Y_2)))))))
% 22.01/22.25 (assume a2714 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (exists ((Y_2 $$unsorted)) (= X_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) Y_2))))))
% 22.01/22.25 (assume a2715 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)))))))
% 22.01/22.25 (assume a2716 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X $$unsorted) (W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))))
% 22.01/22.25 (assume a2717 (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.25 (assume a2718 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 22.01/22.25 (assume a2719 (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a2720 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2721 (forall ((X_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a2722 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2723 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X_1) Y_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Y_1))))))
% 22.01/22.25 (assume a2724 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat tptp.suc M))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)))))))
% 22.01/22.25 (assume a2725 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1)) (tptp.zero_zero X_a))) (and (not (= N_1 (tptp.zero_zero tptp.nat))) (or (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.25 (assume a2726 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1))) (or (= N_1 (tptp.zero_zero tptp.nat)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)))))))))
% 22.01/22.25 (assume a2727 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1)))))))))
% 22.01/22.25 (assume a2728 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1))) (tptp.zero_zero X_a))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.25 (assume a2729 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2730 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X) (tptp.one_one X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1))))))))
% 22.01/22.25 (assume a2731 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.one_one tptp.nat)))))))))
% 22.01/22.25 (assume a2732 (forall ((X $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X))) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))) X))))
% 22.01/22.25 (assume a2733 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) X))))
% 22.01/22.25 (assume a2734 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.even_odd_even tptp.int) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)))))))
% 22.01/22.25 (assume a2735 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1))) (tptp.zero_zero X_a))) (and (not (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1) (tptp.zero_zero tptp.nat))) (or (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1))) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))))))))))
% 22.01/22.25 (assume a2736 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((X_1 $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (or (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1) (tptp.zero_zero tptp.nat)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1))) (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a)))) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)))))))))
% 22.01/22.25 (assume a2737 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1)))))
% 22.01/22.25 (assume a2738 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X_1)))))
% 22.01/22.25 (assume a2739 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (exists ((M_2 $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M_2))))))
% 22.01/22.25 (assume a2740 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2741 (forall ((N_1 $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (exists ((M_2 $$unsorted)) (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) M_2)))))))
% 22.01/22.25 (assume a2742 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2743 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.if tptp.real) (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real)) N_1)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2744 (forall ((N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2745 (forall ((N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2746 (forall ((N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2747 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.sin X) (tptp.zero_zero tptp.real)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2)) (= X (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))
% 22.01/22.25 (assume a2748 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real)) (exists ((N_2 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_2))) (= X (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))
% 22.01/22.25 (assume a2749 (forall ((N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (exists ((X_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_2)) (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a2750 (forall ((X_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_2)) (= (tptp.hAPP tptp.nat tptp.real tptp.sin_coeff X_2) (tptp.zero_zero tptp.real))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_2))) (= (tptp.hAPP tptp.nat tptp.real tptp.sin_coeff X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) X_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) X_2))))))))
% 22.01/22.25 (assume a2751 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N)) (exists ((X_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_2))))))
% 22.01/22.25 (assume a2752 (forall ((X_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_2)) (= (tptp.hAPP tptp.nat tptp.real tptp.cos_coeff X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X_2) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) X_2))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) X_2))) (= (tptp.hAPP tptp.nat tptp.real tptp.cos_coeff X_2) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2753 (forall ((N $$unsorted) (M $$unsorted)) (and (=> (= M (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))) (=> (not (= M (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat))) N))))))))
% 22.01/22.25 (assume a2754 (forall ((M $$unsorted) (N $$unsorted)) (and (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.one_one tptp.nat))) (=> (not (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N) (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.one_one tptp.nat)))))))))
% 22.01/22.25 (assume a2755 (forall ((N $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N) (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2756 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))))))
% 22.01/22.25 (assume a2757 (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.one_one tptp.nat)) (tptp.one_one tptp.nat)))
% 22.01/22.25 (assume a2758 (forall ((X_a $$unsorted)) (=> (tptp.semiring_char_0 X_a) (forall ((N $$unsorted)) (not (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2759 (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a2760 (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a2761 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))
% 22.01/22.25 (assume a2762 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))
% 22.01/22.25 (assume a2763 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) X)))))
% 22.01/22.25 (assume a2764 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M))))))
% 22.01/22.25 (assume a2765 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))
% 22.01/22.25 (assume a2766 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))))))))
% 22.01/22.25 (assume a2767 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N))))))))
% 22.01/22.25 (assume a2768 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))
% 22.01/22.25 (assume a2769 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.one_one tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))
% 22.01/22.25 (assume a2770 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))
% 22.01/22.25 (assume a2771 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M)) (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a2772 (forall ((M $$unsorted)) (and (=> (= M (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M) (tptp.one_one tptp.nat))) (=> (not (= M (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.one_one tptp.nat)))))))))
% 22.01/22.25 (assume a2773 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))))))))
% 22.01/22.25 (assume a2774 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) N))))))))
% 22.01/22.25 (assume a2775 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1) (tptp.one_one X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2776 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Y_1 $$unsorted)) (= (= (tptp.one_one X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y_1))))))))))
% 22.01/22.25 (assume a2777 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X)))))))
% 22.01/22.25 (assume a2778 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y))))))
% 22.01/22.25 (assume a2779 (forall ((Y $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y) X) (= (tptp.hAPP tptp.real tptp.real tptp.ln X) Y))))
% 22.01/22.25 (assume a2780 (forall ((U $$unsorted) (X $$unsorted)) (=> (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) U) X) (= (tptp.hAPP tptp.real tptp.real tptp.ln X) U))))
% 22.01/22.25 (assume a2781 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) X)))
% 22.01/22.25 (assume a2782 (forall ((X_a $$unsorted)) (=> (and (tptp.divisi14063676e_zero X_a) (tptp.real_n1866405975lgebra X_a)) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1)))))))
% 22.01/22.25 (assume a2783 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_1))))))))
% 22.01/22.25 (assume a2784 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)))))
% 22.01/22.25 (assume a2785 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)))))
% 22.01/22.25 (assume a2786 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)))))
% 22.01/22.25 (assume a2787 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))
% 22.01/22.25 (assume a2788 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.one_one X_a)) (tptp.one_one X_a)))))
% 22.01/22.25 (assume a2789 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1) (tptp.one_one X_a)) (= (tptp.ti X_a X_1) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2790 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) N))))))
% 22.01/22.25 (assume a2791 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) B) A_1))))))
% 22.01/22.25 (assume a2792 (= (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a2793 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.ti X_a A_1))))))
% 22.01/22.25 (assume a2794 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B_1)) (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)))))))
% 22.01/22.25 (assume a2795 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (= (tptp.ti X_a A_1) (tptp.ti X_a B)))))))
% 22.01/22.25 (assume a2796 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) Y_1)) (= X_1 Y_1))))
% 22.01/22.25 (assume a2797 (forall ((X_a $$unsorted)) (=> (tptp.field_inverse_zero X_a) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a2798 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.zero_zero X_a)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a2799 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_2 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2800 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (not (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2801 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.ti X_a A_1)))))))
% 22.01/22.25 (assume a2802 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_1) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2803 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.ti X_a A_1) (tptp.ti X_a B)))))))))
% 22.01/22.25 (assume a2804 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X))))
% 22.01/22.25 (assume a2805 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)))))
% 22.01/22.25 (assume a2806 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1)))))))
% 22.01/22.25 (assume a2807 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.exp X_a) X)))))))
% 22.01/22.25 (assume a2808 (forall ((X_a $$unsorted)) (=> (tptp.divisi14063676e_zero X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))
% 22.01/22.25 (assume a2809 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted)) (not (= (tptp.hAPP X_a X_a (tptp.exp X_a) X) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2810 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((R_4 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) R_4) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X))) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) R_4)))))))))
% 22.01/22.25 (assume a2811 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2812 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2813 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_2)))))))
% 22.01/22.25 (assume a2814 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2815 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1))))))))
% 22.01/22.25 (assume a2816 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1))) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))))))))
% 22.01/22.25 (assume a2817 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a2818 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2819 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2820 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.zero_zero X_a)))))))))
% 22.01/22.25 (assume a2821 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1))))))))
% 22.01/22.25 (assume a2822 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) A_1))))))))
% 22.01/22.25 (assume a2823 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2824 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B) (tptp.one_one X_a)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.ti X_a B)))))))
% 22.01/22.25 (assume a2825 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((N $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) N)))))))
% 22.01/22.25 (assume a2826 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.zero_zero X_a))))))
% 22.01/22.25 (assume a2827 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) Z)) (= (tptp.ti X_a Z) (tptp.zero_zero X_a)))))))
% 22.01/22.25 (assume a2828 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1))))))))
% 22.01/22.25 (assume a2829 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))
% 22.01/22.25 (assume a2830 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))
% 22.01/22.25 (assume a2831 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) A_1))))))))
% 22.01/22.25 (assume a2832 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) A_1))))))
% 22.01/22.25 (assume a2833 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) A_1))))))
% 22.01/22.25 (assume a2834 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2835 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) Y)))))
% 22.01/22.25 (assume a2836 (forall ((R $$unsorted) (S_5 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) R) S_5) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) S_5)))))
% 22.01/22.25 (assume a2837 (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2838 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)))))
% 22.01/22.25 (assume a2839 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)))))
% 22.01/22.25 (assume a2840 (forall ((X $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2841 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1) (tptp.one_one tptp.real)) (= X_1 (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a2842 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2843 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2844 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1))))))))
% 22.01/22.25 (assume a2845 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) A_1))))))))
% 22.01/22.25 (assume a2846 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1)) (tptp.one_one X_a))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) X_1))))))))
% 22.01/22.25 (assume a2847 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a2848 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2849 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))))
% 22.01/22.25 (assume a2850 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1))) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))))
% 22.01/22.25 (assume a2851 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2852 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) A_1) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2853 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) A_1) (tptp.one_one X_a)))))))
% 22.01/22.25 (assume a2854 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) A_1))) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)))))))))
% 22.01/22.25 (assume a2855 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.zero_zero X_a)) (tptp.one_one X_a)))))
% 22.01/22.25 (assume a2856 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) A_1)))))))
% 22.01/22.25 (assume a2857 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.exp X_a) X)) (tptp.hAPP X_a X_a (tptp.exp X_a) Y)))))))
% 22.01/22.25 (assume a2858 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.exp X_a) X)) (tptp.hAPP X_a X_a (tptp.exp X_a) Y)) (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)))))))
% 22.01/22.25 (assume a2859 (forall ((X_a $$unsorted)) (=> (and (tptp.field X_a) (tptp.number_ring X_a)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2860 (forall ((X_b $$unsorted)) (=> (and (tptp.division_ring X_b) (tptp.number X_b)) (forall ((W $$unsorted)) (= (tptp.hAPP X_b X_b (tptp.inverse_inverse X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) W)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.inverse_divide X_b) (tptp.one_one X_b)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) W)))))))
% 22.01/22.25 (assume a2861 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.exp X_a) X)) (tptp.hAPP X_a X_a (tptp.exp X_a) Y)))))))
% 22.01/22.25 (assume a2862 (forall ((Y $$unsorted) (U $$unsorted) (X1_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X1_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X1_1) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) U))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X1_1)) U))))))))
% 22.01/22.25 (assume a2863 (forall ((Y $$unsorted) (U $$unsorted) (X1_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X1_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X1_1) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) U))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) U) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X1_1)))))))))
% 22.01/22.25 (assume a2864 (forall ((X $$unsorted)) (=> (not (= X (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) X) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2865 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)))))
% 22.01/22.25 (assume a2866 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2867 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X))))))
% 22.01/22.25 (assume a2868 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2869 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)))))
% 22.01/22.25 (assume a2870 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)))))
% 22.01/22.25 (assume a2871 (forall ((N $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) N))))
% 22.01/22.25 (assume a2872 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X_1)) X_1) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)))))
% 22.01/22.25 (assume a2873 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) X))))
% 22.01/22.25 (assume a2874 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.ring_char_0 X_a)) (forall ((W $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 W)))))))))
% 22.01/22.25 (assume a2875 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.pls))))))
% 22.01/22.25 (assume a2876 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.ring_char_0 X_a)) (forall ((W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 W_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1))))))))
% 22.01/22.25 (assume a2877 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)))))))
% 22.01/22.25 (assume a2878 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)))))))))
% 22.01/22.25 (assume a2879 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B_1))) (and (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)))))))))
% 22.01/22.25 (assume a2880 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a2881 (forall ((X_a $$unsorted)) (=> (tptp.linord1117847801e_zero X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1)) (tptp.one_one X_a))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) X_1))))))))
% 22.01/22.25 (assume a2882 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) (tptp.one_one X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)))))))))
% 22.01/22.25 (assume a2883 (forall ((X_a $$unsorted)) (=> (tptp.division_ring X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B))) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))))))))))
% 22.01/22.25 (assume a2884 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))))
% 22.01/22.25 (assume a2885 (forall ((X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))))
% 22.01/22.25 (assume a2886 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))
% 22.01/22.25 (assume a2887 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X)) X) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X))))))
% 22.01/22.25 (assume a2888 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N)))))))
% 22.01/22.25 (assume a2889 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.25 (assume a2890 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X))))))
% 22.01/22.25 (assume a2891 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.one_one tptp.real))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln Y)) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) X)))))))
% 22.01/22.25 (assume a2892 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((H_2 $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (not (= (tptp.ti X_a A_1) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti X_a B) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))) H_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_1) B)) H_2))) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) B))))))))))
% 22.01/22.25 (assume a2893 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2894 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y_1))))))))))
% 22.01/22.25 (assume a2895 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)))))
% 22.01/22.25 (assume a2896 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((Y_1 $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) tptp.pls) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y_1))))))))))
% 22.01/22.25 (assume a2897 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) X_1) (tptp.zero_zero X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.iszero X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) tptp.pls))))))))))
% 22.01/22.25 (assume a2898 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.25 (assume a2899 (forall ((X $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.tan X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.25 (assume a2900 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) Y)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Y) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_2) Y))))))
% 22.01/22.25 (assume a2901 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) X))))))
% 22.01/22.25 (assume a2902 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.one_one tptp.real)))) (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.25 (assume a2903 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.arccos) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))))
% 22.01/22.25 (assume a2904 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.exp X_a)) X_1) (tptp.hAPP X_a X_a (tptp.exp X_a) X_1)))))))
% 22.01/22.25 (assume a2905 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) E_3)) (= (tptp.ti X_a D_2) (tptp.ti X_a E_3))))))))
% 22.01/22.25 (assume a2906 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) X_3)) (=> (= (tptp.ti X_a X_3) (tptp.ti X_a Y_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) Y_3))))))))
% 22.01/22.25 (assume a2907 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (= (tptp.ti X_a D_2) (tptp.ti X_a E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) E_3))))))))
% 22.01/22.25 (assume a2908 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1)) X_1) C_1))))))
% 22.01/22.25 (assume a2909 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.sin) X_1) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)))))
% 22.01/22.25 (assume a2910 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) (tptp.one_one tptp.real)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2911 (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.hAPP tptp.real tptp.real tptp.ln A_1)))))
% 22.01/22.25 (assume a2912 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.cos) X_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))))))
% 22.01/22.25 (assume a2913 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.ln) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X_1))))))
% 22.01/22.25 (assume a2914 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) A_1) (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a2915 (forall ((Y_1 $$unsorted) (X_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) A_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_2) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_2) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1))))))))
% 22.01/22.25 (assume a2916 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.ln X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.one_one tptp.real))) X))))
% 22.01/22.25 (assume a2917 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.ln) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) X_1))))))
% 22.01/22.25 (assume a2918 (forall ((Y_1 $$unsorted) (X_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) A_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_2) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_2) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1))))))))
% 22.01/22.25 (assume a2919 (forall ((B $$unsorted) (N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B) X))))))
% 22.01/22.25 (assume a2920 (forall ((Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) Y)))))))))
% 22.01/22.25 (assume a2921 (forall ((Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) Y)))))))))
% 22.01/22.25 (assume a2922 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X))))))))
% 22.01/22.25 (assume a2923 (forall ((X $$unsorted) (B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) B)) (=> (not (= B (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln B)) (tptp.hAPP tptp.real tptp.real tptp.ln A_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B) X))))))))))
% 22.01/22.25 (assume a2924 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.sqrt) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2925 (forall ((X_1 $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.tan) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2926 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.arctan) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a2927 (forall ((D_2 $$unsorted) (X_1 $$unsorted)) (=> (not (= X_1 (tptp.zero_zero tptp.real))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= D_2 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))) (= D_2 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt X_1)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.sqrt) X_1) D_2)))))))
% 22.01/22.25 (assume a2928 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) tptp.arcsin) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))))
% 22.01/22.25 (assume a2929 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.one_one tptp.real)))) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.25 (assume a2930 (forall ((V_1 $$unsorted) (K $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_2 B_1)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) V_1) X_2) K))) (= (tptp.hAPP tptp.real tptp.real V_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_2) B_1)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real V_1 A_2)) (tptp.hAPP tptp.real tptp.real V_1 B_1))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a2931 (forall ((D_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) Y_2))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real F X_1)) (tptp.hAPP tptp.real tptp.real F Y_2))))) (= L (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2932 (forall ((D_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) Y_2))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real F Y_2)) (tptp.hAPP tptp.real tptp.real F X_1))))) (= L (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2933 (forall ((D_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) Y_2))) D_1)) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real F Y_2)))) (= L (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2934 (forall ((F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) L)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H_1) D_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) H_1))) (tptp.hAPP tptp.real tptp.real F X_1))))))))))))
% 22.01/22.25 (assume a2935 (forall ((F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) L) (tptp.zero_zero tptp.real))) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H_1) D_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F X_1)) (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) H_1)))))))))))))
% 22.01/22.25 (assume a2936 (forall ((F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) L) (tptp.zero_zero tptp.real))) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H_1) D_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) H_1))) (tptp.hAPP tptp.real tptp.real F X_1))))))))))))
% 22.01/22.25 (assume a2937 (forall ((F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_1) L)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) L)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((H_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H_1) D_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F X_1)) (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) H_1)))))))))))))
% 22.01/22.25 (assume a2938 (forall ((F $$unsorted) (K $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_2 B_1)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) K))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2)) K)))))
% 22.01/22.25 (assume a2939 (forall ((F $$unsorted) (K $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (not (= A_2 B_1)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) K))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2)) K))))))
% 22.01/22.25 (assume a2940 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))))))
% 22.01/22.25 (assume a2941 (forall ((D_2 $$unsorted) (X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (not (= X_1 (tptp.zero_zero tptp.real))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= D_2 (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))) (= D_2 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))) (=> (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (= D_2 (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1) D_2)))))))))
% 22.01/22.25 (assume a2942 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a2943 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) X) X)))
% 22.01/22.25 (assume a2944 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1)) (= X_1 Y_1)))))
% 22.01/22.25 (assume a2945 (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root M) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root M) X)))))))
% 22.01/22.25 (assume a2946 (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (=> (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) N) X) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X) Y)))))
% 22.01/22.25 (assume a2947 (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) N) X))))
% 22.01/22.25 (assume a2948 (forall ((X $$unsorted) (N $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) X))))
% 22.01/22.25 (assume a2949 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1))))))
% 22.01/22.25 (assume a2950 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y)))))))
% 22.01/22.25 (assume a2951 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.zero_zero tptp.real)) (= X_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a2952 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1))))))
% 22.01/22.25 (assume a2953 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y)))))))
% 22.01/22.25 (assume a2954 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y))))))
% 22.01/22.25 (assume a2955 (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root M) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)))))))
% 22.01/22.25 (assume a2956 (forall ((X $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) K_4)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) K_4)))))
% 22.01/22.25 (assume a2957 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.one_one tptp.real)) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a2958 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.one_one tptp.real)) (= X_1 (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a2959 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y))))))
% 22.01/22.25 (assume a2960 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))
% 22.01/22.25 (assume a2961 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))
% 22.01/22.25 (assume a2962 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))
% 22.01/22.25 (assume a2963 (forall ((Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_1))))))
% 22.01/22.25 (assume a2964 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2965 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)))))))
% 22.01/22.25 (assume a2966 (forall ((Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_1))))))
% 22.01/22.25 (assume a2967 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a2968 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)))))))
% 22.01/22.25 (assume a2969 (forall ((Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) Y_1))))))
% 22.01/22.25 (assume a2970 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a2971 (forall ((X $$unsorted) (N_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_5) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))))
% 22.01/22.25 (assume a2972 (forall ((Y_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) Y_1))))))
% 22.01/22.25 (assume a2973 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a2974 (forall ((X $$unsorted) (N_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_5) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))))
% 22.01/22.25 (assume a2975 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) X))))
% 22.01/22.25 (assume a2976 (forall ((X_5 $$unsorted) (N_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_6)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_5)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_6) X_5)))))))
% 22.01/22.25 (assume a2977 (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y))))))))
% 22.01/22.25 (assume a2978 (forall ((Y $$unsorted) (X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) Y))))))))
% 22.01/22.25 (assume a2979 (forall ((X $$unsorted) (N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root M) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X))))))))
% 22.01/22.25 (assume a2980 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) X)))))
% 22.01/22.25 (assume a2981 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) N) X)))))
% 22.01/22.25 (assume a2982 (forall ((X $$unsorted) (Y $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (=> (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) N) X) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X) Y))))))
% 22.01/22.25 (assume a2983 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) N) X)))))
% 22.01/22.25 (assume a2984 (forall ((X $$unsorted) (N_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_5) X)))))))))
% 22.01/22.25 (assume a2985 (forall ((X $$unsorted) (N_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) N_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_5) X)))))))))
% 22.01/22.25 (assume a2986 (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a2987 (forall ((X $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N) X)))))))
% 22.01/22.25 (assume a2988 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) N_1))) (=> (not (= X_1 (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))))))
% 22.01/22.25 (assume a2989 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))))))
% 22.01/22.25 (assume a2990 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (exists ((X_2 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_2) Y)))))
% 22.01/22.25 (assume a2991 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_2))) X)))))))))
% 22.01/22.25 (assume a2992 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (and (=> (= (tptp.ti tptp.int L_4) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K_4) L_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)))) (=> (not (= (tptp.ti tptp.int L_4) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K_4) L_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L_4)))))))
% 22.01/22.25 (assume a2993 (forall ((F $$unsorted) (F_2 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.hAPP tptp.real tptp.real F_2 X_2))))) (exists ((Z_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) Z_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Z_2) B_1)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2)) (tptp.hAPP tptp.real tptp.real F_2 Z_2)))))))))
% 22.01/22.25 (assume a2994 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K_4) L_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L_4))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L_4))))))
% 22.01/22.25 (assume a2995 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) X))))))))
% 22.01/22.25 (assume a2996 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_2)) X)))))))))
% 22.01/22.25 (assume a2997 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.zero_zero tptp.real))) (exists ((R_2 $$unsorted) (A_4 $$unsorted)) (and (= X (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.cos A_4))) (= Y (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.sin A_4))))))))
% 22.01/22.25 (assume a2998 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (exists ((R_2 $$unsorted) (A_4 $$unsorted)) (and (= X (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.cos A_4))) (= Y (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.sin A_4))))))))
% 22.01/22.25 (assume a2999 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (exists ((B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_4) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) B_2) A_3)))))))
% 22.01/22.25 (assume a3000 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) L_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.z3mod K_4) L_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) L_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) L_4))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.z3mod K_4) L_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) L_4)))))))
% 22.01/22.25 (assume a3001 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) L_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.z3div K_4) L_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) K_4) L_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) L_4))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.z3div K_4) L_4) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) L_4))))))))
% 22.01/22.25 (assume a3002 (forall ((X_a $$unsorted) (C_2 $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) X_4) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) X_4) C_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3)) C_2)))))
% 22.01/22.25 (assume a3003 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (F $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.zero_zero tptp.real)))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real F Y_1)))))
% 22.01/22.25 (assume a3004 (forall ((X $$unsorted)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2))))))
% 22.01/22.25 (assume a3005 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_4) L_4)) (exists ((N_2 $$unsorted)) (= L_4 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K_4) N_2))))))
% 22.01/22.25 (assume a3006 (forall ((X_a $$unsorted)) (=> (tptp.comple44059174attice X_a) (forall ((Z $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) Z)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.complete_Sup_Sup X_a) A_3)) Z)))))))
% 22.01/22.25 (assume a3007 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a3008 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_2))))))))
% 22.01/22.25 (assume a3009 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_2))))))))
% 22.01/22.25 (assume a3010 (forall ((P_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.zero_zero tptp.nat)))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X1))) (exists ((N_2 $$unsorted)) (and (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 N_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))))))))
% 22.01/22.25 (assume a3011 (forall ((Real1 $$unsorted) (Real2 $$unsorted) (Real1_2 $$unsorted) (Real2_2 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1) Real2) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1_2) Real2_2)) (and (= Real1 Real1_2) (= Real2 Real2_2)))))
% 22.01/22.25 (assume a3012 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_2) B_1) (tptp.zero_zero tptp.complex)) (and (= A_2 (tptp.zero_zero tptp.real)) (= B_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a3013 (= (tptp.zero_zero tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3014 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (W_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_2) B_1) (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) W_1)) (and (= A_2 (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) W_1)) (= B_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a3015 (= (tptp.one_one tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.one_one tptp.real)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3016 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_2) B_1) (tptp.one_one tptp.complex)) (and (= A_2 (tptp.one_one tptp.real)) (= B_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a3017 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 C) D)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) C)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) B) D)))))
% 22.01/22.25 (assume a3018 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) B)))))
% 22.01/22.25 (assume a3019 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 C) D)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) C)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B) D)))))
% 22.01/22.25 (assume a3020 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 C) D)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) C)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) B) D))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) D)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) B) C))))))
% 22.01/22.25 (assume a3021 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real tptp.cos A_1)) (tptp.hAPP tptp.real tptp.real tptp.sin A_1))) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a3022 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) B)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) A_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) B) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a3023 (forall ((Real1_1 $$unsorted) (Real2_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.nat tptp.complex_size (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1_1) Real2_1)) (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a3024 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.complex tptp.real tptp.arg (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) Y))) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a3025 (forall ((Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.complex tptp.real tptp.arg (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) Y))) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a3026 (forall ((Real1_1 $$unsorted) (Real2_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.nat (tptp.size_size tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1_1) Real2_1)) (tptp.zero_zero tptp.nat))))
% 22.01/22.25 (assume a3027 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) X) Y) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) X) (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) Y)))))
% 22.01/22.25 (assume a3028 (forall ((Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.complex tptp.real tptp.arg (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) Y))) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a3029 (= (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) tptp.ii) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) tptp.min_1)))
% 22.01/22.25 (assume a3030 (forall ((X_a $$unsorted) (F1 $$unsorted) (Real1 $$unsorted) (Real2 $$unsorted)) (= (tptp.hAPP tptp.complex X_a (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real X_a)) (tptp.fun tptp.complex X_a) (tptp.complex_rec X_a) F1) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1) Real2)) (tptp.hAPP tptp.real X_a (tptp.hAPP tptp.real (tptp.fun tptp.real X_a) F1 Real1) Real2))))
% 22.01/22.25 (assume a3031 (forall ((X_a $$unsorted) (F1 $$unsorted) (Real1 $$unsorted) (Real2 $$unsorted)) (= (tptp.hAPP tptp.complex X_a (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real X_a)) (tptp.fun tptp.complex X_a) (tptp.complex_case X_a) F1) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 Real1) Real2)) (tptp.hAPP tptp.real X_a (tptp.hAPP tptp.real (tptp.fun tptp.real X_a) F1 Real1) Real2))))
% 22.01/22.25 (assume a3032 (not (= tptp.ii (tptp.zero_zero tptp.complex))))
% 22.01/22.25 (assume a3033 (not (= tptp.ii (tptp.one_one tptp.complex))))
% 22.01/22.25 (assume a3034 (forall ((W $$unsorted)) (not (= tptp.ii (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) W)))))
% 22.01/22.25 (assume a3035 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) X)) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) X))))
% 22.01/22.25 (assume a3036 (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) tptp.ii) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) tptp.ii)))
% 22.01/22.25 (assume a3037 (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a3038 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X_1) Y_1) tptp.ii) (and (= X_1 (tptp.zero_zero tptp.real)) (= Y_1 (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a3039 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) B)) A_1))))
% 22.01/22.25 (assume a3040 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) B)) A_1))))
% 22.01/22.25 (assume a3041 (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) tptp.ii) (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) tptp.min_1)))
% 22.01/22.25 (assume a3042 (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) tptp.ii) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) (tptp.one_one tptp.complex))))
% 22.01/22.25 (assume a3043 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) X)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) Y)))) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))
% 22.01/22.25 (assume a3044 (forall ((X_a $$unsorted)) (=> (tptp.dvd X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.dvd_dvd X_a) B) A_1)) (not (forall ((K_1 $$unsorted)) (not (= (tptp.ti X_a A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) B) K_1))))))))))
% 22.01/22.25 (assume a3045 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.nat (tptp.finite_card (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))))))
% 22.01/22.25 (assume a3046 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2))))))
% 22.01/22.25 (assume a3047 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3)) (tptp.ti (tptp.fun X_a tptp.bool) A_3))))
% 22.01/22.25 (assume a3048 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3)))))
% 22.01/22.25 (assume a3049 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X_1) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y_1)) (= X_1 Y_1))))))
% 22.01/22.25 (assume a3050 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.collect (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.combc (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool))) A_3)))))
% 22.01/22.25 (assume a3051 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)))))
% 22.01/22.25 (assume a3052 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)))))
% 22.01/22.25 (assume a3053 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X_1) (tptp.zero_zero X_a)) (= X_1 (tptp.zero_zero tptp.real)))))))
% 22.01/22.25 (assume a3054 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.zero_zero tptp.real)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a3055 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.zero_zero tptp.real)) (tptp.zero_zero X_a)))))
% 22.01/22.25 (assume a3056 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3057 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.real_algebra_1 X_a)) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) W)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W))))))
% 22.01/22.25 (assume a3058 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.one_one tptp.real)) (tptp.one_one X_a)))))
% 22.01/22.25 (assume a3059 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3060 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3061 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) N))))))
% 22.01/22.25 (assume a3062 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Xa_2 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X_1) Y_1) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) Xa_2)) (and (= X_1 Xa_2) (= Y_1 (tptp.zero_zero tptp.real))))))
% 22.01/22.25 (assume a3063 (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 R_4) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a3064 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.real_field X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3065 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3066 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y)))))))
% 22.01/22.25 (assume a3067 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)))))))
% 22.01/22.25 (assume a3068 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)))))))
% 22.01/22.25 (assume a3069 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((R_4 $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) R_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4))))))
% 22.01/22.25 (assume a3070 (forall ((X_a $$unsorted)) (=> (and (tptp.divisi14063676e_zero X_a) (tptp.real_div_algebra X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)))))))
% 22.01/22.25 (assume a3071 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X)))))))
% 22.01/22.25 (assume a3072 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.nat tptp.real (tptp.semiring_1_of_nat tptp.real) N)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))
% 22.01/22.25 (assume a3073 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((R_4 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) R_4)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) R_4)))))))
% 22.01/22.25 (assume a3074 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) Z_1) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1))))))
% 22.01/22.25 (assume a3075 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2))))))
% 22.01/22.25 (assume a3076 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)))))
% 22.01/22.25 (assume a3077 (forall ((X_a $$unsorted)) (=> (tptp.real_field X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) Y))))))))
% 22.01/22.25 (assume a3078 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) A_3))))))
% 22.01/22.25 (assume a3079 (forall ((X_a $$unsorted)) (=> (tptp.real_div_algebra X_a) (forall ((X $$unsorted)) (=> (not (= X (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) X)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X))))))))
% 22.01/22.25 (assume a3080 (forall ((X $$unsorted) (Y $$unsorted) (R_4 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) R_4)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) R_4)))))
% 22.01/22.25 (assume a3081 (forall ((R_4 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) Y)))))
% 22.01/22.25 (assume a3082 (forall ((X $$unsorted) (Y $$unsorted) (R_4 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) R_4)) Y))))
% 22.01/22.25 (assume a3083 (forall ((R_4 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_4) X)) Y))))
% 22.01/22.25 (assume a3084 (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))))
% 22.01/22.25 (assume a3085 (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) R_4))))
% 22.01/22.25 (assume a3086 (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) tptp.ii) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) R_4))))
% 22.01/22.25 (assume a3087 (= (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) (tptp.one_one tptp.complex))))
% 22.01/22.25 (assume a3088 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real tptp.cos A_1)) (tptp.hAPP tptp.real tptp.real tptp.sin A_1)))) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4))))
% 22.01/22.25 (assume a3089 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2)))))))))
% 22.01/22.25 (assume a3090 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2)))))))))
% 22.01/22.25 (assume a3091 (= (tptp.hAPP tptp.complex tptp.complex tptp.expi (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) tptp.pi))) tptp.ii)) (tptp.one_one tptp.complex)))
% 22.01/22.25 (assume a3092 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.expi (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) A_1) B)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.expi A_1)) (tptp.hAPP tptp.complex tptp.complex tptp.expi B)))))
% 22.01/22.25 (assume a3093 (= (tptp.hAPP tptp.complex tptp.complex tptp.expi (tptp.zero_zero tptp.complex)) (tptp.one_one tptp.complex)))
% 22.01/22.25 (assume a3094 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2))))))))
% 22.01/22.25 (assume a3095 (forall ((Z_1 $$unsorted)) (exists ((R_2 $$unsorted) (A_4 $$unsorted)) (= Z_1 (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_2)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real tptp.cos A_4)) (tptp.hAPP tptp.real tptp.real tptp.sin A_4)))))))
% 22.01/22.25 (assume a3096 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((T_5 $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_2) X_2)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) T_5))))))))))
% 22.01/22.25 (assume a3097 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) Z_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) Z_1)))))))
% 22.01/22.25 (assume a3098 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)) (=> (forall ((W_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) W_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) W_2) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) W_2) Z_1))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) Z_1))))))))
% 22.01/22.25 (assume a3099 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) C_1) (tptp.hAPP X_a X_b F B_1))) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_2) X_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F Y_2)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) C_1) (tptp.hAPP X_a X_b F A_2))))))))))
% 22.01/22.25 (assume a3100 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((T_5 $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Z_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) T_5)))))))))
% 22.01/22.25 (assume a3101 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((T_5 $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z_2) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) T_5) X_2)))))))))
% 22.01/22.25 (assume a3102 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((T_5 $$unsorted)) (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Z_2)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) T_5) X_2))))))))))
% 22.01/22.25 (assume a3103 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) C_1) (tptp.hAPP X_a X_b F B_1))) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_2) X_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F Y_2)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) C_1) (tptp.hAPP X_a X_b F A_2))))))))))
% 22.01/22.25 (assume a3104 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((F $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F B_1)) C_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b F Y_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F A_2)) C_1)))))))))
% 22.01/22.25 (assume a3105 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((F $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F B_1)) C_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b F Y_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.hAPP X_a X_b F A_2)) C_1)))))))))
% 22.01/22.25 (assume a3106 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.ord X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F B_1)) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) C_1) B_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) Y_2) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F Y_2)) (tptp.hAPP X_b X_a F X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F C_1)) A_2)))))))))
% 22.01/22.25 (assume a3107 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.order X_a) (tptp.order X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F B_1)) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) C_1) B_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) Y_2) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F Y_2)) (tptp.hAPP X_b X_a F X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F C_1)) A_2)))))))))
% 22.01/22.25 (assume a3108 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (F $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) (tptp.hAPP X_b X_a F B_1))) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) B_1) C_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_b X_a F X_2)) (tptp.hAPP X_b X_a F Y_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_b X_a F C_1))))))))))
% 22.01/22.25 (assume a3109 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.order X_b) (tptp.order X_a)) (forall ((C_1 $$unsorted) (A_2 $$unsorted) (F $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_b X_a F B_1))) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) B_1) C_1)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_b X_a F X_2)) (tptp.hAPP X_b X_a F Y_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.hAPP X_b X_a F C_1))))))))))
% 22.01/22.25 (assume a3110 (forall ((X_a $$unsorted)) (=> (tptp.power X_a) (= (tptp.power_power X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP X_a (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.power_1 X_a) (tptp.one_one X_a)) (tptp.times_times X_a))))))
% 22.01/22.25 (assume a3111 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (exists ((Y_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y_2)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F A_2)) (tptp.hAPP tptp.real tptp.real F B_1)))))))
% 22.01/22.25 (assume a3112 (forall ((X_a $$unsorted) (One $$unsorted) (Times $$unsorted) (A_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP X_a (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.power_1 X_a) One) Times) A_2) (tptp.zero_zero tptp.nat)) (tptp.ti X_a One))))
% 22.01/22.25 (assume a3113 (forall ((X_a $$unsorted) (One $$unsorted) (Times $$unsorted) (A_2 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP X_a (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.power_1 X_a) One) Times) A_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) Times A_2) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP X_a (tptp.fun (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.power_1 X_a) One) Times) A_2) N_1)))))
% 22.01/22.25 (assume a3114 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (exists ((Y_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_2) (tptp.zero_zero tptp.real))))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2)))))))
% 22.01/22.25 (assume a3115 (forall ((I $$unsorted) (P_1 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 K)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) I_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_2) (tptp.one_one tptp.int))))))) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_2) K)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) I_2) (tptp.one_one tptp.int))))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I)))))))
% 22.01/22.25 (assume a3116 (forall ((P_1 $$unsorted) (P1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_1)) (=> (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_1) D_1)))))) (=> (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) Z_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P1 X_2)))))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P1 X1))) (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X1)))))))))
% 22.01/22.25 (assume a3117 (forall ((P_1 $$unsorted) (P_2 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_1)) (=> (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_1) D_1)))))) (=> (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z_2) X_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)))))) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X1))) (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X1)))))))))
% 22.01/22.25 (assume a3118 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) Y) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a3119 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.one_one tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a3120 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) B)))))
% 22.01/22.25 (assume a3121 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) A_1)))))
% 22.01/22.25 (assume a3122 (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)))))))
% 22.01/22.25 (assume a3123 (forall ((D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D_1) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D_1) B_1))))))
% 22.01/22.25 (assume a3124 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime N_1) N_1)) (= N_1 (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3125 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3126 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.one_one tptp.nat)) A_1))))
% 22.01/22.25 (assume a3127 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_2) B_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime B_1) A_2)))))
% 22.01/22.25 (assume a3128 (forall ((E_1 $$unsorted) (B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) E_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) E_1)))))))
% 22.01/22.25 (assume a3129 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B) N))))))
% 22.01/22.25 (assume a3130 (forall ((N $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N))))))
% 22.01/22.25 (assume a3131 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))
% 22.01/22.25 (assume a3132 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natfloor X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)))))
% 22.01/22.25 (assume a3133 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) A_1))))
% 22.01/22.25 (assume a3134 (forall ((A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3135 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.zero_zero X_a)) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a3136 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)))))))
% 22.01/22.25 (assume a3137 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) Y))))))))
% 22.01/22.25 (assume a3138 (forall ((D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D_1) (tptp.zero_zero tptp.nat))) (= D_1 (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3139 (forall ((D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.zero_zero tptp.nat)) D_1)) (= D_1 (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3140 (forall ((N $$unsorted) (M $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) R_4)))))))
% 22.01/22.25 (assume a3141 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime D) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D) B))))))
% 22.01/22.25 (assume a3142 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.one_one X_a)) (tptp.one_one tptp.int)))))
% 22.01/22.25 (assume a3143 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_2) B_1)) (forall ((D_3 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) B_1))) (= D_3 (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3144 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))))
% 22.01/22.25 (assume a3145 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) N))))
% 22.01/22.25 (assume a3146 (forall ((A_2 $$unsorted) (N_1 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_2) B_1)))))
% 22.01/22.25 (assume a3147 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((N $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))))
% 22.01/22.25 (assume a3148 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))) N)))))
% 22.01/22.25 (assume a3149 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)) N)))))
% 22.01/22.25 (assume a3150 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)))))
% 22.01/22.25 (assume a3151 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a3152 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) X_1)))))))
% 22.01/22.25 (assume a3153 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) X_1)))))))
% 22.01/22.25 (assume a3154 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.one_one X_a))))))))
% 22.01/22.25 (assume a3155 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.one_one tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.one_one X_a))))))))
% 22.01/22.25 (assume a3156 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.one_one X_a)) X_1)))))))
% 22.01/22.25 (assume a3157 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1))))))))
% 22.01/22.25 (assume a3158 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) X_1)))))))
% 22.01/22.25 (assume a3159 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.one_one X_a))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.one_one tptp.int)))))))
% 22.01/22.25 (assume a3160 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))))))
% 22.01/22.25 (assume a3161 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.one_one X_a))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.one_one tptp.int)))))))
% 22.01/22.25 (assume a3162 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))))))
% 22.01/22.25 (assume a3163 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) A_1)) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) B))) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) B))))))))
% 22.01/22.25 (assume a3164 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)) N)))))
% 22.01/22.25 (assume a3165 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) (tptp.one_one X_a))) X_1)))))))
% 22.01/22.25 (assume a3166 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a3167 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) X_1)))))))
% 22.01/22.25 (assume a3168 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_2) B_1)) (exists ((X_2 $$unsorted) (Y_2 $$unsorted)) (or (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) X_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B_1) Y_2)) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B_1) X_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) Y_2)) (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3169 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (=> (not (= B (tptp.one_one tptp.nat))) (exists ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) X_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) Y_2)) (tptp.one_one tptp.nat))))))))
% 22.01/22.25 (assume a3170 (forall ((V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) V) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.pred V)))))))
% 22.01/22.25 (assume a3171 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.succ (tptp.hAPP tptp.int tptp.int tptp.pred X)) (tptp.ti tptp.int X))))
% 22.01/22.25 (assume a3172 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.pred (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4))))
% 22.01/22.25 (assume a3173 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.pred (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.pred K_4)))))
% 22.01/22.25 (assume a3174 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) K) L)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred K)) L)))))
% 22.01/22.25 (assume a3175 (= (tptp.hAPP tptp.int tptp.int tptp.pred tptp.pls) tptp.min_1))
% 22.01/22.25 (assume a3176 (= (tptp.hAPP tptp.int tptp.int tptp.pred tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.bit0 tptp.min_1)))
% 22.01/22.25 (assume a3177 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int tptp.pred K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) K_4) (tptp.one_one tptp.int)))))
% 22.01/22.25 (assume a3178 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.pred (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K_4))))))
% 22.01/22.25 (assume a3179 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) K_4) tptp.min_1) (tptp.hAPP tptp.int tptp.int tptp.pred K_4))))
% 22.01/22.25 (assume a3180 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) tptp.min_1) K_4) (tptp.hAPP tptp.int tptp.int tptp.pred K_4))))
% 22.01/22.25 (assume a3181 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 K_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 L_4)) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred K_4)) L_4)))))
% 22.01/22.25 (assume a3182 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) (tptp.hAPP tptp.int tptp.int tptp.pred W)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.one_one X_a))) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W)))))))
% 22.01/22.25 (assume a3183 (forall ((V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1) (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a3184 (forall ((M $$unsorted) (V $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.pls) V)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.pred V)))))))
% 22.01/22.25 (assume a3185 (forall ((X_a $$unsorted) (R1_1 $$unsorted) (R2_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_a tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_a tptp.bool))) R1_1) R2_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R2_1)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R1_1))))))
% 22.01/22.25 (assume a3186 (forall ((Z_1 $$unsorted)) (exists ((A_4 $$unsorted) (R_2 $$unsorted)) (= Z_1 (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_2)) (tptp.hAPP tptp.complex tptp.complex tptp.expi A_4))))))
% 22.01/22.25 (assume a3187 (forall ((X_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.resSet Ma) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) X_3))))))
% 22.01/22.25 (assume a3188 (forall ((Ma $$unsorted) (X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.resSet Ma) X_3)) (forall ((Y1 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y1) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y2) X_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong Y1) Y2) Ma))) (= (tptp.ti tptp.int Y1) (tptp.ti tptp.int Y2)))))))
% 22.01/22.25 (assume a3189 (forall ((P_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.resSet P_4) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4)))))
% 22.01/22.25 (assume a3190 (forall ((X_a $$unsorted) (R_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R_1) A_2)) (exists ((X_2 $$unsorted)) (and (= (tptp.ti X_a A_2) (tptp.ti X_a X_2)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_1 Xa) X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R_1) Xa)))))))))
% 22.01/22.25 (assume a3191 (forall ((X_a $$unsorted) (A_2 $$unsorted) (R_1 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R_1) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_1 A_2) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a tptp.bool) (tptp.accp X_a) R_1) A_2))))))
% 22.01/22.25 (assume a3192 (forall ((Nat_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.nat_size Nat_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3193 (forall ((Nat_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.size_size tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.size_size tptp.nat) Nat_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3194 (= (tptp.hAPP tptp.code_code_numeral tptp.nat tptp.code_c271388182l_size (tptp.zero_zero tptp.code_code_numeral)) (tptp.zero_zero tptp.nat)))
% 22.01/22.25 (assume a3195 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.size_size tptp.nat) N) N)))
% 22.01/22.25 (assume a3196 (= (tptp.hAPP tptp.nat tptp.nat (tptp.size_size tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.nat)))
% 22.01/22.25 (assume a3197 (= (tptp.hAPP tptp.nat tptp.nat tptp.nat_size (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.nat)))
% 22.01/22.25 (assume a3198 (forall ((Code_numeral_2 $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral tptp.nat tptp.code_c271388182l_size (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.code_code_numeral tptp.nat tptp.code_c271388182l_size Code_numeral_2)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3199 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))
% 22.01/22.25 (assume a3200 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.uminus X_a) (forall ((A_3 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.uminus_uminus (tptp.fun X_b X_a)) A_3) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_b X_a A_3 X_1)))))))
% 22.01/22.25 (assume a3201 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) X)) (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)))))
% 22.01/22.25 (assume a3202 (forall ((Z $$unsorted)) (= (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z) (tptp.zero_zero tptp.complex)) (= Z (tptp.zero_zero tptp.complex)))))
% 22.01/22.25 (assume a3203 (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.zero_zero tptp.complex)) (tptp.zero_zero tptp.complex)))
% 22.01/22.25 (assume a3204 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) W)) (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) W))))
% 22.01/22.25 (assume a3205 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) X) Y)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Y)))))
% 22.01/22.25 (assume a3206 (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.one_one tptp.complex)) (tptp.one_one tptp.complex)))
% 22.01/22.25 (assume a3207 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) X)) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)))))
% 22.01/22.25 (assume a3208 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) X) Y)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Y)))))
% 22.01/22.25 (assume a3209 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj X_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Y_1)) (= X_1 Y_1))))
% 22.01/22.25 (assume a3210 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)) Z_1)))
% 22.01/22.25 (assume a3211 (forall ((Code_numeral $$unsorted) (Code_numeral_5 $$unsorted)) (= (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_5)) (= Code_numeral Code_numeral_5))))
% 22.01/22.25 (assume a3212 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.nat tptp.complex (tptp.semiring_1_of_nat tptp.complex) N)) (tptp.hAPP tptp.nat tptp.complex (tptp.semiring_1_of_nat tptp.complex) N))))
% 22.01/22.25 (assume a3213 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1))))
% 22.01/22.25 (assume a3214 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) X) Y)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Y)))))
% 22.01/22.25 (assume a3215 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) X) N)) (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) N))))
% 22.01/22.25 (assume a3216 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) X) Y)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Y)))))
% 22.01/22.25 (assume a3217 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) X)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) X))))
% 22.01/22.25 (assume a3218 (forall ((Code_numeral_4 $$unsorted)) (not (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_4) (tptp.zero_zero tptp.code_code_numeral)))))
% 22.01/22.25 (assume a3219 (forall ((Code_numeral_3 $$unsorted)) (not (= (tptp.zero_zero tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_3)))))
% 22.01/22.25 (assume a3220 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) B)))))
% 22.01/22.25 (assume a3221 (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj tptp.ii) (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) tptp.ii)))
% 22.01/22.25 (assume a3222 (forall ((X_a $$unsorted)) (=> (tptp.ab_sem1668676832m_mult X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.25 (assume a3223 (forall ((X_a $$unsorted)) (=> (tptp.ab_sem1668676832m_mult X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) X) (tptp.ti X_a X))))))
% 22.01/22.25 (assume a3224 (forall ((X_a $$unsorted)) (=> (tptp.ab_sem1668676832m_mult X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B))))))
% 22.01/22.25 (assume a3225 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.ti X_a X))))))
% 22.01/22.25 (assume a3226 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.25 (assume a3227 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.minus_minus tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral N)) (tptp.one_one tptp.code_code_numeral)) N)))
% 22.01/22.25 (assume a3228 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) X_1)))))))
% 22.01/22.25 (assume a3229 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))))))))
% 22.01/22.25 (assume a3230 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y))))))))
% 22.01/22.25 (assume a3231 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) Y)))))))
% 22.01/22.25 (assume a3232 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) Y)))))))
% 22.01/22.25 (assume a3233 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y))))))))
% 22.01/22.25 (assume a3234 (forall ((X_a $$unsorted)) (=> (tptp.boolean_algebra X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) X_1)))))))
% 22.01/22.25 (assume a3235 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.minus X_b) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (X_2 $$unsorted)) (= (tptp.hAPP X_a X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.minus_minus (tptp.fun X_a X_b)) A_3) B_2) X_2) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b A_3 X_2)) (tptp.hAPP X_a X_b B_2 X_2)))))))
% 22.01/22.25 (assume a3236 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.minus X_a) (forall ((A_3 $$unsorted) (B_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP X_b X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.minus_minus (tptp.fun X_b X_a)) A_3) B_2) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_b X_a A_3 X_1)) (tptp.hAPP X_b X_a B_2 X_1)))))))
% 22.01/22.25 (assume a3237 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.uminus X_b) (forall ((A_3 $$unsorted) (X_2 $$unsorted)) (= (tptp.hAPP X_a X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.uminus_uminus (tptp.fun X_a X_b)) A_3) X_2) (tptp.hAPP X_b X_b (tptp.uminus_uminus X_b) (tptp.hAPP X_a X_b A_3 X_2)))))))
% 22.01/22.25 (assume a3238 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3239 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3240 (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2))))))
% 22.01/22.25 (assume a3241 (forall ((Code_numeral_2 $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral tptp.nat (tptp.size_size tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.code_code_numeral tptp.nat (tptp.size_size tptp.code_code_numeral) Code_numeral_2)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3242 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1)))) tptp.ii))))
% 22.01/22.25 (assume a3243 (forall ((Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.code_code_numeral))) (not (forall ((Code_numeral_1 $$unsorted)) (not (= Y (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral_1))))))))
% 22.01/22.25 (assume a3244 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) Y)))
% 22.01/22.25 (assume a3245 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)))))
% 22.01/22.25 (assume a3246 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) Z_1)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3247 (= (tptp.hAPP tptp.complex tptp.real tptp.im tptp.ii) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a3248 (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.zero_zero tptp.complex)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a3249 (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.one_one tptp.complex)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a3250 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y)))))
% 22.01/22.25 (assume a3251 (forall ((V $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) V)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3252 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)))))
% 22.01/22.25 (assume a3253 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y)))))
% 22.01/22.25 (assume a3254 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.nat tptp.complex (tptp.semiring_1_of_nat tptp.complex) N)) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3255 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X))) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X)))))
% 22.01/22.25 (assume a3256 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1))) (tptp.zero_zero tptp.real))))
% 22.01/22.25 (assume a3257 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1)) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1)))))
% 22.01/22.25 (assume a3258 (= (tptp.hAPP tptp.code_code_numeral tptp.nat (tptp.size_size tptp.code_code_numeral) (tptp.zero_zero tptp.code_code_numeral)) (tptp.zero_zero tptp.nat)))
% 22.01/22.25 (assume a3259 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3260 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3261 (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2))))))
% 22.01/22.25 (assume a3262 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) X) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.25 (assume a3263 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a3264 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a3265 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 X) Y)) X)))
% 22.01/22.25 (assume a3266 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) Z_1)) Z_1)))
% 22.01/22.25 (assume a3267 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)) (tptp.hAPP tptp.complex tptp.real tptp.re X))))
% 22.01/22.25 (assume a3268 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= X_1 Y_1) (and (= (tptp.hAPP tptp.complex tptp.real tptp.re X_1) (tptp.hAPP tptp.complex tptp.real tptp.re Y_1)) (= (tptp.hAPP tptp.complex tptp.real tptp.im X_1) (tptp.hAPP tptp.complex tptp.real tptp.im Y_1))))))
% 22.01/22.25 (assume a3269 (forall ((X $$unsorted) (Y $$unsorted)) (=> (= (tptp.hAPP tptp.complex tptp.real tptp.re X) (tptp.hAPP tptp.complex tptp.real tptp.re Y)) (=> (= (tptp.hAPP tptp.complex tptp.real tptp.im X) (tptp.hAPP tptp.complex tptp.real tptp.im Y)) (= X Y)))))
% 22.01/22.25 (assume a3270 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X)))))
% 22.01/22.25 (assume a3271 (= (tptp.hAPP tptp.complex tptp.real tptp.re tptp.ii) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a3272 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1)) Z_1)))
% 22.01/22.25 (assume a3273 (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.zero_zero tptp.complex)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a3274 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y)))))
% 22.01/22.25 (assume a3275 (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.one_one tptp.complex)) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a3276 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)))))
% 22.01/22.25 (assume a3277 (forall ((V $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) V)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) V))))
% 22.01/22.25 (assume a3278 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y)))))
% 22.01/22.25 (assume a3279 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.nat tptp.complex (tptp.semiring_1_of_nat tptp.complex) N)) (tptp.hAPP tptp.nat tptp.real (tptp.semiring_1_of_nat tptp.real) N))))
% 22.01/22.25 (assume a3280 (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X))) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X)))))
% 22.01/22.25 (assume a3281 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1)))))
% 22.01/22.25 (assume a3282 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y))))))
% 22.01/22.25 (assume a3283 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y))))))
% 22.01/22.25 (assume a3284 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1))))))
% 22.01/22.25 (assume a3285 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)))))))
% 22.01/22.25 (assume a3286 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) X) Y) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y))))))
% 22.01/22.25 (assume a3287 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.uminus_uminus tptp.complex) X) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X))) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X))))))
% 22.01/22.25 (assume a3288 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) X) Y) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.complex tptp.real tptp.im Y))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.complex tptp.real tptp.re Y)))))))
% 22.01/22.25 (assume a3289 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.plus_plus tptp.complex) Z_1) (tptp.hAPP tptp.complex tptp.complex tptp.cnj Z_1)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.complex tptp.real tptp.re Z_1))))))
% 22.01/22.25 (assume a3290 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) Z_1) (tptp.hAPP tptp.real tptp.real tptp.sqrt (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im Z_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a3291 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im X)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.25 (assume a3292 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3293 (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2)))))))
% 22.01/22.25 (assume a3294 (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X_2)) K_2))))))
% 22.01/22.25 (assume a3295 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.expi Z_1) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re Z_1)))) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.complex tptp.real tptp.im Z_1))))))
% 22.01/22.25 (assume a3296 (forall ((N $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) A_1)) (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) N)))))
% 22.01/22.25 (assume a3297 (forall ((N $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) A_1)) (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) N)))))
% 22.01/22.25 (assume a3298 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.real tptp.cos A_1))))
% 22.01/22.25 (assume a3299 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.real tptp.sin A_1))))
% 22.01/22.25 (assume a3300 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.complex tptp.cis B)) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3301 (= (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.zero_zero tptp.real)) (tptp.one_one tptp.complex)))
% 22.01/22.25 (assume a3302 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)))))
% 22.01/22.25 (assume a3303 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.complex tptp.cis B)) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3304 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex tptp.cis A_1) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real tptp.cos A_1)) (tptp.hAPP tptp.real tptp.real tptp.sin A_1)))))
% 22.01/22.25 (assume a3305 (forall ((A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) N) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) A_1)))))
% 22.01/22.25 (assume a3306 (forall ((N $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N))) A_1)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)) (tptp.hAPP tptp.real tptp.complex tptp.cis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) A_1))))))
% 22.01/22.25 (assume a3307 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a3308 (forall ((X_a $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) S) T_3))))))))
% 22.01/22.25 (assume a3309 (forall ((Y $$unsorted) (X $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 22.01/22.25 (assume a3310 (forall ((X_a $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S))) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)))))))
% 22.01/22.25 (assume a3311 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 22.01/22.25 (assume a3312 (forall ((Y $$unsorted) (X $$unsorted) (Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 22.01/22.25 (assume a3313 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) Y)))))
% 22.01/22.25 (assume a3314 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Y) Z_1))))))
% 22.01/22.25 (assume a3315 (forall ((X_b $$unsorted) (X_a $$unsorted) (R_3 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.in_rel X_a X_b) R_3) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_1) Y_1)) R_3)))))
% 22.01/22.25 (assume a3316 (forall ((M $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) M))))))
% 22.01/22.25 (assume a3317 (forall ((B $$unsorted) (A_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) B))) (and (=> (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))) (=> (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B))))))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_1))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B))))))))))
% 22.01/22.25 (assume a3318 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a3319 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3320 (forall ((Q_3 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime Q_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) Q_3)) (= P_5 Q_3))))))
% 22.01/22.25 (assume a3321 (forall ((Q_3 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime Q_3)) (=> (not (= P_5 Q_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime P_5) Q_3)))))))
% 22.01/22.25 (assume a3322 (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3323 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) P_5)))))
% 22.01/22.25 (assume a3324 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_4)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) B_1))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_4) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_4) B_1)))))))
% 22.01/22.25 (assume a3325 (forall ((A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) B)))))))
% 22.01/22.25 (assume a3326 (forall ((M $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) N)))))))
% 22.01/22.25 (assume a3327 (forall ((P_5 $$unsorted) (Q_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) P_5) Q_3))) (or (= P_5 (tptp.one_one tptp.nat)) (= Q_3 (tptp.one_one tptp.nat))))))
% 22.01/22.25 (assume a3328 (forall ((X $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N)))))))
% 22.01/22.25 (assume a3329 (forall ((X $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) X))))))
% 22.01/22.25 (assume a3330 (forall ((A_1 $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) A_1))))))
% 22.01/22.25 (assume a3331 (forall ((P_4 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_4) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_4)) (= N_1 (tptp.one_one tptp.nat))))))
% 22.01/22.25 (assume a3332 (forall ((P_5 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) B)))))))
% 22.01/22.25 (assume a3333 (forall ((N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime P_5) N))))))
% 22.01/22.25 (assume a3334 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_2) B_1)) (forall ((P_6 $$unsorted)) (not (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_6) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_6) B_1))))))))
% 22.01/22.25 (assume a3335 (forall ((A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime A_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) A_1))))))
% 22.01/22.25 (assume a3336 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) P_5)))))
% 22.01/22.25 (assume a3337 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 22.01/22.25 (assume a3338 (forall ((M $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (not (= N (tptp.zero_zero tptp.nat))) (=> (= N (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) P_5) M)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)))))))
% 22.01/22.25 (assume a3339 (forall ((P_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_4)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) P_4)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M_2) P_4)) (or (= M_2 (tptp.one_one tptp.nat)) (= M_2 P_4))))))))
% 22.01/22.25 (assume a3340 (forall ((D_1 $$unsorted) (K $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_4)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_4) K))) (exists ((I_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) I_2) K)) (= D_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_4) I_2))))))))
% 22.01/22.25 (assume a3341 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) B))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) A_1)))))))
% 22.01/22.25 (assume a3342 (forall ((X $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X) P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime X) P_5)))))))
% 22.01/22.25 (assume a3343 (forall ((N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (or (= N (tptp.one_one tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime P_5) N))))))
% 22.01/22.25 (assume a3344 (forall ((Q_3 $$unsorted) (R_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) R_4)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_3) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) R_4)))))
% 22.01/22.25 (assume a3345 (forall ((A_1 $$unsorted) (B $$unsorted) (Qr_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) Qr_1)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd Qr_1))))))
% 22.01/22.25 (assume a3346 (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.25 (assume a3347 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B))))))
% 22.01/22.25 (assume a3348 (forall ((M $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) M))))))
% 22.01/22.25 (assume a3349 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B))) (or (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) N)) B))))))))
% 22.01/22.25 (assume a3350 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_5)))))
% 22.01/22.25 (assume a3351 (forall ((P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (or (= P_5 (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.even_odd_even tptp.nat) P_5)))))))
% 22.01/22.25 (assume a3352 (forall ((P_5 $$unsorted) (Q_3 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int P_5) Q_3) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) P_5) Q_3)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) P_5) Q_3)))))
% 22.01/22.25 (assume a3353 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral (tptp.product_prod tptp.code_code_numeral tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral (tptp.product_prod tptp.code_code_numeral tptp.code_code_numeral)) tptp.code_d418564891umeral N) M) (tptp.hAPP tptp.code_code_numeral (tptp.product_prod tptp.code_code_numeral tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral (tptp.product_prod tptp.code_code_numeral tptp.code_code_numeral)) (tptp.product_Pair tptp.code_code_numeral tptp.code_code_numeral) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_div tptp.code_code_numeral) N) M)) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral (tptp.hAPP tptp.code_code_numeral (tptp.fun tptp.code_code_numeral tptp.code_code_numeral) (tptp.div_mod tptp.code_code_numeral) N) M)))))
% 22.01/22.25 (assume a3354 (forall ((M $$unsorted) (R_4 $$unsorted) (S_3 $$unsorted) (T_5 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.xzgcd M) N) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) R_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) S_3) T_5))) (= (tptp.ti tptp.int R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_3) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_5) N)))))))
% 22.01/22.25 (assume a3355 (forall ((M $$unsorted) (N $$unsorted) (R_5 $$unsorted) (S_4 $$unsorted) (S_3 $$unsorted) (T_6 $$unsorted) (T_5 $$unsorted) (R_4 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_5) R_4) S_4) S_3) T_6) T_5) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) R_5) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) S_4) T_6)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) R_4) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_5) R_4) S_4) S_3) T_6) T_5) (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) R_5) R_4)) S_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) S_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) R_5) R_4)) S_3))) T_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) T_6) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) R_5) R_4)) T_5))))))))
% 22.01/22.25 (assume a3356 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.xzgcd M) N) (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) M) N) (tptp.one_one tptp.int)) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))))
% 22.01/22.25 (assume a3357 (forall ((M $$unsorted) (N $$unsorted) (R_5 $$unsorted) (S_4 $$unsorted) (S_3 $$unsorted) (T_6 $$unsorted) (T_5 $$unsorted) (Rn $$unsorted) (Sn_1 $$unsorted) (Tn_1 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) R_4)) (=> (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_5) R_4) S_4) S_3) T_6) T_5) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) Rn) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Sn_1) Tn_1))) (=> (= (tptp.ti tptp.int R_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_6) N))) (=> (= (tptp.ti tptp.int R_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_3) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_5) N))) (= (tptp.ti tptp.int Rn) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Sn_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Tn_1) N)))))))))
% 22.01/22.25 (assume a3358 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime X) Y))) (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_6) X)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_6) Y)))))))
% 22.01/22.25 (assume a3359 (forall ((X $$unsorted) (K_4 $$unsorted) (N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (not (= N (tptp.zero_zero tptp.nat))) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) X) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) K_4)) (exists ((I_2 $$unsorted)) (= X (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) I_2))))))))
% 22.01/22.25 (assume a3360 (forall ((N $$unsorted)) (=> (not (= N (tptp.one_one tptp.nat))) (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_6) N)))))))
% 22.01/22.25 (assume a3361 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N)))))))
% 22.01/22.25 (assume a3362 (forall ((A_1 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) A_1))) (exists ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) X_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) P_5) Y_2)) (tptp.one_one tptp.nat))))))))
% 22.01/22.25 (assume a3363 (forall ((N $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime N)))) (exists ((M_2 $$unsorted) (K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) M_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) K_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) K_1) N)) (= N (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M_2) K_1)))))))
% 22.01/22.25 (assume a3364 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.zero_zero tptp.nat)) M))))
% 22.01/22.25 (assume a3365 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M) N)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.zero_zero tptp.nat)) M)))))
% 22.01/22.25 (assume a3366 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N)))))
% 22.01/22.25 (assume a3367 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel B) C) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Q_3) R_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) C)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)) C) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) Q_3)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) R_4)) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) R_4)) C))))))))
% 22.01/22.25 (assume a3368 (forall ((C $$unsorted) (A_1 $$unsorted) (B $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel A_1) B) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Q_3) R_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) C)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) C)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) Q_3) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) Q_3) C))) R_4)))))))))
% 22.01/22.25 (assume a3369 (forall ((B $$unsorted) (Bq $$unsorted) (Br $$unsorted) (A_1 $$unsorted) (C $$unsorted) (Aq $$unsorted) (Ar $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel A_1) C) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Aq) Ar))) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel B) C) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Bq) Br))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) C)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_1) B)) C) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Aq) Bq)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ar) Br)) C))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ar) Br)) C)))))))))
% 22.01/22.25 (assume a3370 (forall ((Qr_2 $$unsorted) (M $$unsorted) (N $$unsorted) (Qr_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) Qr_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) Qr_2)) (= Qr_1 Qr_2)))))
% 22.01/22.25 (assume a3371 (forall ((M $$unsorted) (N $$unsorted) (Qr_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) Qr_1)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N) Qr_1))))
% 22.01/22.25 (assume a3372 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N)))))
% 22.01/22.25 (assume a3373 (forall ((M $$unsorted) (N $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Q_3) R_4))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) Q_3))))
% 22.01/22.25 (assume a3374 (forall ((M $$unsorted) (N $$unsorted) (Q_3 $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Q_3) R_4))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) R_4))))
% 22.01/22.25 (assume a3375 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N))))))
% 22.01/22.25 (assume a3376 (forall ((M $$unsorted) (N $$unsorted)) (not (forall ((Q_4 $$unsorted) (R_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel M) N) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) Q_4) R_2))))))))
% 22.01/22.25 (assume a3377 (forall ((N $$unsorted)) (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) P_6))))))
% 22.01/22.25 (assume a3378 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))))))
% 22.01/22.25 (assume a3379 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B)))))
% 22.01/22.25 (assume a3380 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B)))))))
% 22.01/22.25 (assume a3381 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B)))))))
% 22.01/22.25 (assume a3382 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))))
% 22.01/22.25 (assume a3383 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)))))))))
% 22.01/22.25 (assume a3384 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)))))))))
% 22.01/22.25 (assume a3385 (forall ((X $$unsorted) (Y $$unsorted)) (and (=> (= Y (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) Y) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.zero_zero tptp.int)))) (=> (not (= Y (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) Y) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) Y))))))))))
% 22.01/22.25 (assume a3386 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) Y)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) Y) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) X) Y)))))))))
% 22.01/22.25 (assume a3387 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))))))
% 22.01/22.25 (assume a3388 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int A_1) B)))))
% 22.01/22.25 (assume a3389 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg A_1) B)))))))
% 22.01/22.25 (assume a3390 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg A_1) B)))))))
% 22.01/22.25 (assume a3391 (forall ((W $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))))))
% 22.01/22.25 (assume a3392 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.negDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)))))))))
% 22.01/22.25 (assume a3393 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.negateSnd (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.posDivAlg (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)))))))))
% 22.01/22.25 (assume a3394 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (G $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_b) tptp.nat (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun (tptp.product_prod X_a X_b) tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_b tptp.nat) (tptp.fun (tptp.product_prod X_a X_b) tptp.nat)) (tptp.product_prod_size X_a X_b) F) G) P_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP X_a tptp.nat F (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) P_4))) (tptp.hAPP X_b tptp.nat G (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) P_4)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3395 (forall ((X_b $$unsorted) (X_a $$unsorted) (P_1 $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 Y_1) X_1)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) (tptp.hAPP X_a (tptp.product_prod X_b X_a) (tptp.hAPP X_b (tptp.fun X_a (tptp.product_prod X_b X_a)) (tptp.product_Pair X_b X_a) X_1) Y_1))) (tptp.hAPP (tptp.product_prod X_b X_a) X_b (tptp.product_fst X_b X_a) (tptp.hAPP X_a (tptp.product_prod X_b X_a) (tptp.hAPP X_b (tptp.fun X_a (tptp.product_prod X_b X_a)) (tptp.product_Pair X_b X_a) X_1) Y_1)))))))
% 22.01/22.25 (assume a3396 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (Q_2 $$unsorted) (P_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 P_4)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool Q_1 Q_2)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) P_4) Q_2)))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool Q_1 (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) P_4) Q_2)))))))))
% 22.01/22.25 (assume a3397 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) M) N) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_fst tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N)))))
% 22.01/22.25 (assume a3398 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M) N) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat M) N)))))
% 22.01/22.25 (assume a3399 (forall ((Ma $$unsorted) (N_1 $$unsorted) (Qr $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel Ma) N_1) Qr)) (and (= Ma (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_fst tptp.nat tptp.nat) Qr)) N_1)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) Qr))) (=> (= N_1 (tptp.zero_zero tptp.nat)) (= (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_fst tptp.nat tptp.nat) Qr) (tptp.zero_zero tptp.nat))) (=> (not (= N_1 (tptp.zero_zero tptp.nat))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) Qr))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) Qr)) N_1)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) Qr))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.nat (tptp.product_snd tptp.nat tptp.nat) Qr)) (tptp.zero_zero tptp.nat)))))))))))
% 22.01/22.25 (assume a3400 (forall ((P_1 $$unsorted) (N_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_1))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_1) A_2)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1))))))
% 22.01/22.25 (assume a3401 (forall ((X_a $$unsorted) (X_b $$unsorted) (T_5 $$unsorted)) (= (tptp.ti (tptp.product_prod X_a X_b) T_5) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) T_5)) (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) T_5)))))
% 22.01/22.25 (assume a3402 (forall ((X_b $$unsorted) (X_a $$unsorted) (P_5 $$unsorted)) (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) P_5)) (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) P_5)) (tptp.ti (tptp.product_prod X_a X_b) P_5))))
% 22.01/22.25 (assume a3403 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))))))))
% 22.01/22.25 (assume a3404 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_2) B_1))))
% 22.01/22.25 (assume a3405 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))))))))
% 22.01/22.25 (assume a3406 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))))))))
% 22.01/22.25 (assume a3407 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted)) (= (forall ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool P_1 X1))) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool P_1 (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_4) B_4)))))))
% 22.01/22.25 (assume a3408 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (A_8 $$unsorted) (B_7 $$unsorted)) (= (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_8) B_7)) (and (= (tptp.ti X_a A_2) (tptp.ti X_a A_8)) (= (tptp.ti X_b B_1) (tptp.ti X_b B_7))))))
% 22.01/22.25 (assume a3409 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted) (A_6 $$unsorted) (B_5 $$unsorted)) (=> (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_1) B) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_6) B_5)) (not (=> (= (tptp.ti X_a A_1) (tptp.ti X_a A_6)) (not (= (tptp.ti X_b B) (tptp.ti X_b B_5))))))))
% 22.01/22.25 (assume a3410 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) (tptp.hAPP X_a (tptp.product_prod X_b X_a) (tptp.hAPP X_b (tptp.fun X_a (tptp.product_prod X_b X_a)) (tptp.product_Pair X_b X_a) A_1) B)) (tptp.ti X_a B))))
% 22.01/22.25 (assume a3411 (forall ((X_b $$unsorted) (X_a $$unsorted) (X $$unsorted) (Y $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) (tptp.hAPP X_a (tptp.product_prod X_b X_a) (tptp.hAPP X_b (tptp.fun X_a (tptp.product_prod X_b X_a)) (tptp.product_Pair X_b X_a) X) Y)) (tptp.ti X_a A_1)) (= (tptp.ti X_a Y) (tptp.ti X_a A_1)))))
% 22.01/22.25 (assume a3412 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_1) B)) (tptp.ti X_a A_1))))
% 22.01/22.25 (assume a3413 (forall ((X_a $$unsorted) (X_b $$unsorted) (X $$unsorted) (Y $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X) Y)) (tptp.ti X_a A_1)) (= (tptp.ti X_a X) (tptp.ti X_a A_1)))))
% 22.01/22.25 (assume a3414 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) P_5) (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) Q_3)) (=> (= (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) P_5) (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) Q_3)) (= (tptp.ti (tptp.product_prod X_a X_b) P_5) (tptp.ti (tptp.product_prod X_a X_b) Q_3))))))
% 22.01/22.25 (assume a3415 (forall ((X_a $$unsorted) (X_b $$unsorted) (Sa $$unsorted) (Ta $$unsorted)) (= (= (tptp.ti (tptp.product_prod X_a X_b) Sa) (tptp.ti (tptp.product_prod X_a X_b) Ta)) (and (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) Sa) (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) Ta)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) Sa) (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) Ta))))))
% 22.01/22.25 (assume a3416 (forall ((N_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) B_4) C_4))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) B_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) B_4) C_4)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) C_4)))))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_2) B_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (not (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_1))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_1)))))))))))
% 22.01/22.25 (assume a3417 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) B_4) C_4))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) B_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) B_4) C_4))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) C_4))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_2) B_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (forall ((N_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))))))))))))
% 22.01/22.25 (assume a3418 (forall ((X_b $$unsorted) (X_a $$unsorted) (P_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) P_4)) (tptp.hAPP (tptp.product_prod X_b X_a) X_b (tptp.product_fst X_b X_a) P_4))) (not (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (not (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 Y_2) X_2))))))))
% 22.01/22.25 (assume a3419 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (Y $$unsorted)) (not (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (not (= (tptp.ti (tptp.product_prod X_a (tptp.product_prod X_b X_c)) Y) (tptp.hAPP (tptp.product_prod X_b X_c) (tptp.product_prod X_a (tptp.product_prod X_b X_c)) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b X_c) (tptp.product_prod X_a (tptp.product_prod X_b X_c))) (tptp.product_Pair X_a (tptp.product_prod X_b X_c)) A_4) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) B_4) C_4))))))))
% 22.01/22.25 (assume a3420 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b X_c)) tptp.bool P_1 (tptp.hAPP (tptp.product_prod X_b X_c) (tptp.product_prod X_a (tptp.product_prod X_b X_c)) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b X_c) (tptp.product_prod X_a (tptp.product_prod X_b X_c))) (tptp.product_Pair X_a (tptp.product_prod X_b X_c)) A_4) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) B_4) C_4))))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b X_c)) tptp.bool P_1 X_1)))))
% 22.01/22.25 (assume a3421 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (Y $$unsorted)) (not (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted)) (not (= (tptp.ti (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) Y) (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d)))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) A_4) (tptp.hAPP (tptp.product_prod X_c X_d) (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c X_d) (tptp.product_prod X_b (tptp.product_prod X_c X_d))) (tptp.product_Pair X_b (tptp.product_prod X_c X_d)) B_4) (tptp.hAPP X_d (tptp.product_prod X_c X_d) (tptp.hAPP X_c (tptp.fun X_d (tptp.product_prod X_c X_d)) (tptp.product_Pair X_c X_d) C_4) D_3)))))))))
% 22.01/22.25 (assume a3422 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (X_e $$unsorted) (X_f $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted) (E $$unsorted) (F_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) tptp.bool P_1 (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) A_4) (tptp.hAPP (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) (tptp.product_Pair X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) B_4) (tptp.hAPP (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.hAPP X_c (tptp.fun (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_Pair X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) C_4) (tptp.hAPP (tptp.product_prod X_e X_f) (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.hAPP X_d (tptp.fun (tptp.product_prod X_e X_f) (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_Pair X_d (tptp.product_prod X_e X_f)) D_3) (tptp.hAPP X_f (tptp.product_prod X_e X_f) (tptp.hAPP X_e (tptp.fun X_f (tptp.product_prod X_e X_f)) (tptp.product_Pair X_e X_f) E) F_3)))))))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) tptp.bool P_1 X_1)))))
% 22.01/22.25 (assume a3423 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (X_e $$unsorted) (X_f $$unsorted) (Y $$unsorted)) (not (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted) (E $$unsorted) (F_3 $$unsorted)) (not (= (tptp.ti (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) Y) (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) A_4) (tptp.hAPP (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))))) (tptp.product_Pair X_b (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) B_4) (tptp.hAPP (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.hAPP X_c (tptp.fun (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.product_prod X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f)))) (tptp.product_Pair X_c (tptp.product_prod X_d (tptp.product_prod X_e X_f))) C_4) (tptp.hAPP (tptp.product_prod X_e X_f) (tptp.product_prod X_d (tptp.product_prod X_e X_f)) (tptp.hAPP X_d (tptp.fun (tptp.product_prod X_e X_f) (tptp.product_prod X_d (tptp.product_prod X_e X_f))) (tptp.product_Pair X_d (tptp.product_prod X_e X_f)) D_3) (tptp.hAPP X_f (tptp.product_prod X_e X_f) (tptp.hAPP X_e (tptp.fun X_f (tptp.product_prod X_e X_f)) (tptp.product_Pair X_e X_f) E) F_3)))))))))))
% 22.01/22.25 (assume a3424 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (X_e $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted) (E $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) tptp.bool P_1 (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) A_4) (tptp.hAPP (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) (tptp.product_Pair X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) B_4) (tptp.hAPP (tptp.product_prod X_d X_e) (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.hAPP X_c (tptp.fun (tptp.product_prod X_d X_e) (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_Pair X_c (tptp.product_prod X_d X_e)) C_4) (tptp.hAPP X_e (tptp.product_prod X_d X_e) (tptp.hAPP X_d (tptp.fun X_e (tptp.product_prod X_d X_e)) (tptp.product_Pair X_d X_e) D_3) E))))))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) tptp.bool P_1 X_1)))))
% 22.01/22.25 (assume a3425 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (X_e $$unsorted) (Y $$unsorted)) (not (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted) (E $$unsorted)) (not (= (tptp.ti (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) Y) (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) A_4) (tptp.hAPP (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.product_prod X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e)))) (tptp.product_Pair X_b (tptp.product_prod X_c (tptp.product_prod X_d X_e))) B_4) (tptp.hAPP (tptp.product_prod X_d X_e) (tptp.product_prod X_c (tptp.product_prod X_d X_e)) (tptp.hAPP X_c (tptp.fun (tptp.product_prod X_d X_e) (tptp.product_prod X_c (tptp.product_prod X_d X_e))) (tptp.product_Pair X_c (tptp.product_prod X_d X_e)) C_4) (tptp.hAPP X_e (tptp.product_prod X_d X_e) (tptp.hAPP X_d (tptp.fun X_e (tptp.product_prod X_d X_e)) (tptp.product_Pair X_d X_e) D_3) E))))))))))
% 22.01/22.25 (assume a3426 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted) (D_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) tptp.bool P_1 (tptp.hAPP (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) (tptp.hAPP X_a (tptp.fun (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d)))) (tptp.product_Pair X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) A_4) (tptp.hAPP (tptp.product_prod X_c X_d) (tptp.product_prod X_b (tptp.product_prod X_c X_d)) (tptp.hAPP X_b (tptp.fun (tptp.product_prod X_c X_d) (tptp.product_prod X_b (tptp.product_prod X_c X_d))) (tptp.product_Pair X_b (tptp.product_prod X_c X_d)) B_4) (tptp.hAPP X_d (tptp.product_prod X_c X_d) (tptp.hAPP X_c (tptp.fun X_d (tptp.product_prod X_c X_d)) (tptp.product_Pair X_c X_d) C_4) D_3)))))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a (tptp.product_prod X_b (tptp.product_prod X_c X_d))) tptp.bool P_1 X_1)))))
% 22.01/22.25 (assume a3427 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_rec X_b X_c X_a) F1) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) A_2) B_1)) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) F1 A_2) B_1))))
% 22.01/22.25 (assume a3428 (= (tptp.one_one tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))
% 22.01/22.25 (assume a3429 (forall ((K_4 $$unsorted)) (and (=> (= K_4 (tptp.zero_zero tptp.quickcheck_code_int)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of K_4) (tptp.zero_zero tptp.int))) (=> (not (= K_4 (tptp.zero_zero tptp.quickcheck_code_int))) (and (=> (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_mod tptp.quickcheck_code_int) K_4) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.quickcheck_code_int)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_div tptp.quickcheck_code_int) K_4) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (=> (not (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_mod tptp.quickcheck_code_int) K_4) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.zero_zero tptp.quickcheck_code_int))) (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_div tptp.quickcheck_code_int) K_4) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.one_one tptp.int)))))))))
% 22.01/22.25 (assume a3430 (forall ((R_4 $$unsorted) (A_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.nat tptp.complex) (tptp.power_power tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1)) N) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) R_4) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) A_1)))))
% 22.01/22.25 (assume a3431 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.quickcheck_code_int tptp.bool (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.bool) (tptp.ord_less_eq tptp.quickcheck_code_int) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N_1)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of Ma))))))
% 22.01/22.25 (assume a3432 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.quickcheck_code_int tptp.bool (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.bool) (tptp.ord_less tptp.quickcheck_code_int) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N_1)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of Ma))))))
% 22.01/22.25 (assume a3433 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of X_1) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of Y_1)) (= X_1 Y_1))))
% 22.01/22.25 (assume a3434 (forall ((K $$unsorted) (L $$unsorted)) (= (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of K) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of L)) (= K L))))
% 22.01/22.25 (assume a3435 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4))))
% 22.01/22.25 (assume a3436 (= (tptp.zero_zero tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.quickcheck_code_int (tptp.number_number_of tptp.quickcheck_code_int) tptp.pls)))
% 22.01/22.25 (assume a3437 (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4))))
% 22.01/22.25 (assume a3438 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) R_4))))
% 22.01/22.25 (assume a3439 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex tptp.cis A_1) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.one_one tptp.real)) A_1))))
% 22.01/22.25 (assume a3440 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.zero_zero tptp.real)) A_1) (tptp.zero_zero tptp.complex))))
% 22.01/22.25 (assume a3441 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.real tptp.real tptp.cos A_1)))))
% 22.01/22.25 (assume a3442 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.real tptp.real tptp.sin A_1)))))
% 22.01/22.25 (assume a3443 (forall ((R1 $$unsorted) (A_1 $$unsorted) (R2 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R1) A_1)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R2) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R1) R2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3444 (forall ((R1 $$unsorted) (A_1 $$unsorted) (R2 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.inverse_divide tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R1) A_1)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R2) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) R1) R2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3445 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.times_times tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.of_real tptp.complex) R_4)) (tptp.hAPP tptp.real tptp.complex tptp.cis A_1)))))
% 22.01/22.25 (assume a3446 (forall ((R_4 $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.inverse_inverse tptp.complex) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis R_4) A_1)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.rcis (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) R_4)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)))))
% 22.01/22.25 (assume a3447 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int (tptp.product_prod tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int (tptp.product_prod tptp.quickcheck_code_int tptp.quickcheck_code_int)) tptp.quickc495462417de_int N) M) (tptp.hAPP tptp.quickcheck_code_int (tptp.product_prod tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int (tptp.product_prod tptp.quickcheck_code_int tptp.quickcheck_code_int)) (tptp.product_Pair tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_div tptp.quickcheck_code_int) N) M)) (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_mod tptp.quickcheck_code_int) N) M)))))
% 22.01/22.25 (assume a3448 (forall ((I_1 $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.nat tptp.quickcheck_nat_of I_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of I_1)))))
% 22.01/22.25 (assume a3449 (forall ((P_1 $$unsorted) (A0 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.accp tptp.int) tptp.quickc1265749348ro_rel) A0)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.accp tptp.int) tptp.quickc1265749348ro_rel) I_2)) (=> (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) I_2) (tptp.zero_zero tptp.int)))) (=> (not (= (tptp.ti tptp.int I_2) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) I_2) (tptp.one_one tptp.int)))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 I_2))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 A0))))))
% 22.01/22.25 (assume a3450 (forall ((X $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) X) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X))) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) X) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a3451 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.product_Pair (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.finite_psubset X_a))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2))))))
% 22.01/22.25 (assume a3452 (forall ((X_b $$unsorted) (X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (and (=> (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2))) (= (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.nat (tptp.finite_card (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B_2)))) (=> (not (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2)))) (= (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.nat (tptp.finite_card (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2)) (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3453 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) M) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N))))))
% 22.01/22.25 (assume a3454 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2)))))
% 22.01/22.25 (assume a3455 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)))))
% 22.01/22.25 (assume a3456 (forall ((X_b $$unsorted) (X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2)))))))
% 22.01/22.25 (assume a3457 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2))))))
% 22.01/22.25 (assume a3458 (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.one_one tptp.int)) (tptp.one_one tptp.int)))
% 22.01/22.25 (assume a3459 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) M) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N)))))))
% 22.01/22.25 (assume a3460 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) M) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a3461 (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))
% 22.01/22.25 (assume a3462 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) X))))))
% 22.01/22.25 (assume a3463 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N)) (not (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a3464 (forall ((M $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M)))))
% 22.01/22.25 (assume a3465 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) X)))))
% 22.01/22.25 (assume a3466 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N))))))
% 22.01/22.25 (assume a3467 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N))))))
% 22.01/22.25 (assume a3468 (forall ((M $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) K_4)))))))
% 22.01/22.25 (assume a3469 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) M) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N)))))))
% 22.01/22.25 (assume a3470 (forall ((X_b $$unsorted) (X_a $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2)) (= (tptp.hAPP (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) tptp.nat (tptp.finite_card (tptp.sum_sum X_a X_b)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.sum_sum X_a X_b) tptp.bool)) (tptp.sum_Plus X_a X_b) A_3) B_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) B_2)))))))
% 22.01/22.25 (assume a3471 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) X))))))
% 22.01/22.25 (assume a3472 (forall ((M $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) M)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) (tptp.one_one tptp.int))) K_4))))))))
% 22.01/22.25 (assume a3473 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N)) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N))))))
% 22.01/22.25 (assume a3474 (forall ((N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) N) (tptp.one_one tptp.int))))))))
% 22.01/22.25 (assume a3475 (forall ((I_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) I_1)) (= (tptp.hAPP (tptp.list tptp.int) tptp.nat (tptp.size_size (tptp.list tptp.int)) (tptp.hAPP tptp.int (tptp.list tptp.int) tptp.quickc666637781d_zero I_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 I_1))) (tptp.one_one tptp.nat))))))
% 22.01/22.25 (assume a3476 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) P_4)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) P_4)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 A_2))))))
% 22.01/22.25 (assume a3477 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) B_4) C_4))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) B_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) B_4) C_4))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) C_4))))) (=> (forall ((X_2 $$unsorted)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_4) A_4)) D_3))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4)))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_2) B_1))))))))
% 22.01/22.25 (assume a3478 (forall ((Ma $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) B_1)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma)))))))
% 22.01/22.25 (assume a3479 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)))))
% 22.01/22.25 (assume a3480 (forall ((A_2 $$unsorted) (Ma $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma)))))
% 22.01/22.25 (assume a3481 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)))))
% 22.01/22.25 (assume a3482 (forall ((P_1 $$unsorted)) (=> (and (forall ((A_4 $$unsorted) (B_4 $$unsorted) (C_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) B_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) B_4) C_4)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) B_4) C_4)))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) C_4))))) (forall ((X_2 $$unsorted)) (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) B_4) A_4)) D_3))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))))))))) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_4) B_4)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.bool P_1 (tptp.hAPP tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.product_Pair tptp.real tptp.real) A_4) B_4))))))))
% 22.01/22.25 (assume a3483 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) Y))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.int tptp.int)) tptp.bezw X) Y))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y))) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)))))
% 22.01/22.25 (assume a3484 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) (tptp.one_one X_a))) X_1)))))))
% 22.01/22.25 (assume a3485 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)) N))))
% 22.01/22.25 (assume a3486 (forall ((M $$unsorted) (N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)) M))))
% 22.01/22.25 (assume a3487 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)))))
% 22.01/22.25 (assume a3488 (forall ((N $$unsorted) (M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B) M)) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3489 (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) B) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) N))))
% 22.01/22.25 (assume a3490 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) A_1) A_1)))
% 22.01/22.25 (assume a3491 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) X) X)))
% 22.01/22.25 (assume a3492 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) B) A_1))))
% 22.01/22.25 (assume a3493 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) X))))
% 22.01/22.25 (assume a3494 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))))
% 22.01/22.25 (assume a3495 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y))))
% 22.01/22.25 (assume a3496 (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) C)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) B) C)))))
% 22.01/22.25 (assume a3497 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) Z_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Z_1)))))
% 22.01/22.25 (assume a3498 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) C) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) B) C)))))
% 22.01/22.25 (assume a3499 (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)) Z_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) Z_1)))))
% 22.01/22.25 (assume a3500 (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) B)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))))))))
% 22.01/22.25 (assume a3501 (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) A_1)))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) X)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))))))))
% 22.01/22.25 (assume a3502 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) A_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) B))))))))
% 22.01/22.25 (assume a3503 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)))))
% 22.01/22.25 (assume a3504 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M)))))
% 22.01/22.25 (assume a3505 (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) C)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) D)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) C) D)))))))
% 22.01/22.25 (assume a3506 (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Z_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) Z_1)))))))
% 22.01/22.25 (assume a3507 (forall ((B $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) B)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)))))))
% 22.01/22.25 (assume a3508 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)))))))
% 22.01/22.25 (assume a3509 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y) X)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) Y))))
% 22.01/22.25 (assume a3510 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) X))))
% 22.01/22.25 (assume a3511 (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) B) X)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) X)))))
% 22.01/22.25 (assume a3512 (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) A_1) X)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) X)))))
% 22.01/22.25 (assume a3513 (forall ((B_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_1) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_1) B_1)) (forall ((E $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) E) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) E) B_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) E) D_1))))) (= D_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_2) B_1)))))
% 22.01/22.25 (assume a3514 (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y_1) Z))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Z))))))
% 22.01/22.25 (assume a3515 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Ma) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) Ma)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) N_1))))))
% 22.01/22.25 (assume a3516 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X_1) Y_1) X_1))))
% 22.01/22.25 (assume a3517 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)) Y))))
% 22.01/22.25 (assume a3518 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)) X))))
% 22.01/22.25 (assume a3519 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N))))
% 22.01/22.25 (assume a3520 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) M) N)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N))))
% 22.01/22.25 (assume a3521 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) N)))))
% 22.01/22.25 (assume a3522 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.one_one tptp.nat)) X) (tptp.one_one tptp.nat))))
% 22.01/22.25 (assume a3523 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) (tptp.one_one tptp.nat)) (tptp.one_one tptp.nat))))
% 22.01/22.25 (assume a3524 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) (tptp.one_one tptp.nat)) (tptp.one_one tptp.nat))))
% 22.01/22.25 (assume a3525 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.zero_zero tptp.nat)) X) X)))
% 22.01/22.25 (assume a3526 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) (tptp.zero_zero tptp.nat)) X)))
% 22.01/22.25 (assume a3527 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Ma) N_1) (tptp.zero_zero tptp.nat)) (and (= Ma (tptp.zero_zero tptp.nat)) (= N_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3528 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X_1) Y_1) (tptp.zero_zero tptp.nat)) (and (= X_1 (tptp.zero_zero tptp.nat)) (= Y_1 (tptp.zero_zero tptp.nat))))))
% 22.01/22.25 (assume a3529 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))))
% 22.01/22.25 (assume a3530 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))
% 22.01/22.25 (assume a3531 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Ma) N_1))) (or (not (= Ma (tptp.zero_zero tptp.nat))) (not (= N_1 (tptp.zero_zero tptp.nat)))))))
% 22.01/22.25 (assume a3532 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= A_1 (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) A_1)))))
% 22.01/22.25 (assume a3533 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= B (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)) B)))))
% 22.01/22.25 (assume a3534 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) N) (tptp.one_one tptp.nat))))
% 22.01/22.25 (assume a3535 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N))))
% 22.01/22.25 (assume a3536 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B) (tptp.one_one tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X) B)) (= X (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3537 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_2) B_1) (tptp.one_one tptp.nat)) (forall ((D_3 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) B_1))) (= D_3 (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3538 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N) (tptp.one_one tptp.nat))) N) (tptp.one_one tptp.nat))))
% 22.01/22.25 (assume a3539 (forall ((D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) B_1)) (tptp.one_one tptp.nat)) (and (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D_1) A_2) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D_1) B_1) (tptp.one_one tptp.nat))))))
% 22.01/22.25 (assume a3540 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) K_4) N) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K_4) M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)))))
% 22.01/22.25 (assume a3541 (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) A_1) (tptp.one_one tptp.nat)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) B) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)) (tptp.one_one tptp.nat))))))
% 22.01/22.25 (assume a3542 (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_2) D_1) (tptp.one_one tptp.nat)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) B_1) C_1) (tptp.one_one tptp.nat)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_2) C_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B_1) D_1)) (and (= A_2 B_1) (= C_1 D_1)))))))
% 22.01/22.25 (assume a3543 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) A_1) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3544 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B)) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) B) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3545 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) M)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)))))
% 22.01/22.25 (assume a3546 (forall ((N $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N) M)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) N)) N) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N)))))
% 22.01/22.25 (assume a3547 (forall ((X $$unsorted) (Y $$unsorted)) (and (=> (= Y (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) X)) (=> (not (= Y (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))))))
% 22.01/22.25 (assume a3548 (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= Y (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y))))))
% 22.01/22.25 (assume a3549 (forall ((N $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) A_1) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) D) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) A_1) N)) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3550 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))
% 22.01/22.25 (assume a3551 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.zero_zero X_a)) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a3552 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) Y)))))))
% 22.01/22.25 (assume a3553 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) Y)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X))))))))
% 22.01/22.25 (assume a3554 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.one_one X_a)) (tptp.one_one tptp.int)))))
% 22.01/22.25 (assume a3555 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V))))))
% 22.01/22.25 (assume a3556 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.nat tptp.natceiling X) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X)))))
% 22.01/22.25 (assume a3557 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((N $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))))
% 22.01/22.25 (assume a3558 (forall ((B_5 $$unsorted) (A_6 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B) (tptp.zero_zero tptp.nat))) (=> (= A_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_6) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (=> (= B (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_6) B_5) (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3559 (forall ((N $$unsorted)) (=> (not (= N (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) (tptp.one_one tptp.nat))) N) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3560 (forall ((N $$unsorted) (M $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) M) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) N) R_4)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M) N) (tptp.one_one tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N)) R_4)))))))
% 22.01/22.25 (assume a3561 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) K) N_1) (tptp.one_one tptp.nat)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) Ma) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K) Ma))))))
% 22.01/22.25 (assume a3562 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) K_4) N) (tptp.one_one tptp.nat)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) M) N))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) K_4) M))))))
% 22.01/22.25 (assume a3563 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (not (= A_1 (tptp.zero_zero tptp.nat))) (not (= B (tptp.zero_zero tptp.nat)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) A_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3564 (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X) Y)) M) (tptp.one_one tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) M) (tptp.one_one tptp.nat)))))
% 22.01/22.25 (assume a3565 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)))))))
% 22.01/22.25 (assume a3566 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)))))))
% 22.01/22.25 (assume a3567 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))))))))
% 22.01/22.25 (assume a3568 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_2) B_1) (tptp.one_one tptp.nat)) (forall ((D_3 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) D_3) B_1))) (= D_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))
% 22.01/22.25 (assume a3569 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)))))))
% 22.01/22.25 (assume a3570 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a3571 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.one_one tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.25 (assume a3572 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) X_1)))))))
% 22.01/22.25 (assume a3573 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.one_one X_a)) X_1)))))))
% 22.01/22.25 (assume a3574 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.one_one tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.one_one X_a))))))))
% 22.01/22.25 (assume a3575 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((V_1 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) X_1)))))))
% 22.01/22.25 (assume a3576 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1))))))))
% 22.01/22.25 (assume a3577 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.one_one X_a))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) (tptp.one_one tptp.int)))))))
% 22.01/22.25 (assume a3578 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))))))
% 22.01/22.25 (assume a3579 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.one_one X_a))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) (tptp.one_one tptp.int)))))))
% 22.01/22.25 (assume a3580 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (V $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)))))))
% 22.01/22.25 (assume a3581 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1))))))))
% 22.01/22.25 (assume a3582 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)) X_1)))))))
% 22.01/22.25 (assume a3583 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V_1)) (tptp.one_one X_a)))))))))
% 22.01/22.25 (assume a3584 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B) (tptp.zero_zero tptp.nat))) (exists ((A_5 $$unsorted) (B_3 $$unsorted)) (and (= A_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_5) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (= B (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B_3) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_5) B_3) (tptp.one_one tptp.nat)))))))
% 22.01/22.25 (assume a3585 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (not (= A_1 (tptp.zero_zero tptp.nat))) (exists ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) X_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) B) Y_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) A_1) B)))))))
% 22.01/22.25 (assume a3586 (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.cauchy tptp.real) X_3)) (forall ((J_1 $$unsorted)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.nat tptp.real X_3 M_2)) (tptp.hAPP tptp.nat tptp.real X_3 N_2)))) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc J_1))))))))))))))
% 22.01/22.25 (assume a3587 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((E_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E_2)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2)))) E_2)))))))))))))
% 22.01/22.25 (assume a3588 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2)))) E))))))))))))))
% 22.01/22.25 (assume a3589 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (=> (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2)))) E))))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)))))))
% 22.01/22.25 (assume a3590 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N) (tptp.one_one tptp.int)))))))
% 22.01/22.25 (assume a3591 (forall ((X_a $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted) (F $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) X_1) Y_1)) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.measure X_a) F))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP X_a tptp.nat F X_1)) (tptp.hAPP X_a tptp.nat F Y_1))))))
% 22.01/22.25 (assume a3592 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) A_1)))))))
% 22.01/22.25 (assume a3593 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X_1)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_1) Y_1)))))
% 22.01/22.25 (assume a3594 (forall ((X $$unsorted) (A_1 $$unsorted)) (not (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1) (tptp.zero_zero tptp.real)))))
% 22.01/22.25 (assume a3595 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.one_one tptp.real)) A_1) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a3596 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.ti tptp.int N))))
% 22.01/22.25 (assume a3597 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1)) X_1) (exists ((N_2 $$unsorted)) (= X_1 (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_2))))))
% 22.01/22.25 (assume a3598 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) B) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3599 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) B) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B)) A_1))))
% 22.01/22.25 (assume a3600 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X_1) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y_1)) (= (tptp.ti tptp.int X_1) (tptp.ti tptp.int Y_1)))))
% 22.01/22.25 (assume a3601 (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.real)))
% 22.01/22.25 (assume a3602 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X_1) (tptp.zero_zero tptp.real)) (= (tptp.ti tptp.int X_1) (tptp.zero_zero tptp.int)))))
% 22.01/22.25 (assume a3603 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X_1)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) Y_1)))))
% 22.01/22.25 (assume a3604 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y)))))
% 22.01/22.25 (assume a3605 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) N) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N)))))
% 22.01/22.25 (assume a3606 (forall ((X $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) N))))
% 22.01/22.25 (assume a3607 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N))))
% 22.01/22.25 (assume a3608 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y)))))
% 22.01/22.25 (assume a3609 (forall ((V $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) V))))
% 22.01/22.25 (assume a3610 (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.one_one tptp.int)) (tptp.one_one tptp.real)))
% 22.01/22.25 (assume a3611 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Y)))))
% 22.01/22.25 (assume a3612 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.ti tptp.int N))))
% 22.01/22.25 (assume a3613 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X_1)) X_1) (exists ((N_2 $$unsorted)) (= X_1 (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_2))))))
% 22.01/22.25 (assume a3614 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X)) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)))))
% 22.01/22.25 (assume a3615 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)))))
% 22.01/22.25 (assume a3616 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) R_4))) R_4))))
% 22.01/22.25 (assume a3617 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) R_4) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) R_4))))))
% 22.01/22.25 (assume a3618 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) Y)))))
% 22.01/22.25 (assume a3619 (forall ((X $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)))))
% 22.01/22.25 (assume a3620 (forall ((Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr Y) A_1))))))))
% 22.01/22.25 (assume a3621 (forall ((Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr Y) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1))))))))
% 22.01/22.25 (assume a3622 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B)))))))
% 22.01/22.25 (assume a3623 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))))
% 22.01/22.25 (assume a3624 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X_1) A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X_1) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1))))))
% 22.01/22.25 (assume a3625 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) B)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B)))))))
% 22.01/22.25 (assume a3626 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_1) B))))))
% 22.01/22.25 (assume a3627 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) R_4))) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) R_4))))))
% 22.01/22.25 (assume a3628 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) B)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B)))))
% 22.01/22.25 (assume a3629 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) R_4))) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) R_4))))))
% 22.01/22.25 (assume a3630 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) B)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) B)))))
% 22.01/22.25 (assume a3631 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)))))
% 22.01/22.25 (assume a3632 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X))))))
% 22.01/22.25 (assume a3633 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2))))))
% 22.01/22.25 (assume a3634 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1)) X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X))))))
% 22.01/22.25 (assume a3635 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_1) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1)) X)))))
% 22.01/22.25 (assume a3636 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_2) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) X_1)))))
% 22.01/22.25 (assume a3637 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)) A_1))))
% 22.01/22.25 (assume a3638 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) X_1)))))
% 22.01/22.25 (assume a3639 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X_1)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2))))))
% 22.01/22.25 (assume a3640 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X)) A_1)))))
% 22.01/22.25 (assume a3641 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))))))
% 22.01/22.25 (assume a3642 (forall ((N $$unsorted) (X $$unsorted)) (=> (= X (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X))) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)) N)))))
% 22.01/22.25 (assume a3643 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X)) A_1))))
% 22.01/22.25 (assume a3644 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X)) A_1))))
% 22.01/22.25 (assume a3645 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N))) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) N))))
% 22.01/22.25 (assume a3646 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X)) A_1))))
% 22.01/22.25 (assume a3647 (forall ((Y $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) Y)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr Y) A_1))))))))
% 22.01/22.25 (assume a3648 (forall ((A_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) X) Y)) A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr Y) A_1)))))))
% 22.01/22.25 (assume a3649 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)))))))
% 22.01/22.25 (assume a3650 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X_1)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X_1) A_2)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X_1) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1))))))
% 22.01/22.25 (assume a3651 (forall ((X_1 $$unsorted)) (= (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X_1) (tptp.one_one tptp.real)) X_1) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)))))
% 22.01/22.25 (assume a3652 (forall ((A_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) X) Y)) A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr Y) A_1)))))))
% 22.01/22.25 (assume a3653 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1)))))
% 22.01/22.25 (assume a3654 (forall ((X $$unsorted) (A_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) A_1) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) (tptp.hAPP tptp.real tptp.real tptp.ln X))))))
% 22.01/22.25 (assume a3655 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) N_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a3656 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N_1)))))
% 22.01/22.25 (assume a3657 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)))))
% 22.01/22.25 (assume a3658 (forall ((N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1)) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.25 (assume a3659 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Ma) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1))))))
% 22.01/22.25 (assume a3660 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1)) Ma)))))
% 22.01/22.25 (assume a3661 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Ma) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1))))))
% 22.01/22.25 (assume a3662 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) N_1)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) N_1)) Ma)))))
% 22.01/22.25 (assume a3663 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1)) (tptp.one_one tptp.real))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma))))))
% 22.01/22.25 (assume a3664 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) (tptp.one_one tptp.real)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N) X)))))
% 22.01/22.25 (assume a3665 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) N_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) Ma)) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a3666 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)))))
% 22.01/22.25 (assume a3667 (forall ((N $$unsorted) (D $$unsorted)) (=> (not (= (tptp.ti tptp.int D) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D) N)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N) D)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) D)))))))
% 22.01/22.25 (assume a3668 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) R_4))) (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a3669 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) R_4))) (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a3670 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X) (tptp.ti tptp.int N))))))
% 22.01/22.25 (assume a3671 (forall ((X $$unsorted) (I_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.tan (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) I_1)) tptp.pi))) (tptp.hAPP tptp.real tptp.real tptp.tan X))))
% 22.01/22.25 (assume a3672 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) R_4) (tptp.one_one tptp.real))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) R_4))))))
% 22.01/22.25 (assume a3673 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) R_4) (tptp.one_one tptp.real))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) R_4))))))
% 22.01/22.25 (assume a3674 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) R_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_4) (tptp.one_one tptp.real))))))
% 22.01/22.25 (assume a3675 (forall ((R_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) R_4))) (tptp.one_one tptp.real))) R_4))))
% 22.01/22.25 (assume a3676 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N)))))
% 22.01/22.25 (assume a3677 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real tptp.ln (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) (tptp.hAPP tptp.real tptp.real tptp.ln X)))))))
% 22.01/22.25 (assume a3678 (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) X)) X))))))
% 22.01/22.25 (assume a3679 (forall ((Y $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (=> (not (= A_1 (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log A_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr A_1) Y)) Y)))))
% 22.01/22.25 (assume a3680 (forall ((N $$unsorted) (M $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) M)) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) M) N))))))
% 22.01/22.25 (assume a3681 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N) X)))))))
% 22.01/22.25 (assume a3682 (forall ((N $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) N) X)))) (tptp.one_one tptp.real)))))
% 22.01/22.25 (assume a3683 (forall ((X $$unsorted) (D $$unsorted)) (=> (not (= (tptp.ti tptp.int D) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X)) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) D)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) D))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) D))) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) D)))))))
% 22.01/22.25 (assume a3684 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X) (tptp.ti tptp.int N))))))
% 22.01/22.25 (assume a3685 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) (tptp.one_one tptp.real))) X_1)))))
% 22.01/22.25 (assume a3686 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) (tptp.one_one tptp.real)))))))
% 22.01/22.25 (assume a3687 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real))) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N))) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X) (tptp.ti tptp.int N))))))
% 22.01/22.25 (assume a3688 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X_1)) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) (tptp.one_one tptp.real)))))))
% 22.01/22.26 (assume a3689 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_2) (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) A_2)) (tptp.one_one tptp.real))) X_1)))))
% 22.01/22.26 (assume a3690 (forall ((B $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) Y) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B) X)))))))
% 22.01/22.26 (assume a3691 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N)) (tptp.one_one tptp.real)))) (= (tptp.hAPP tptp.real tptp.int (tptp.archimedean_ceiling tptp.real) X) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a3692 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N)) (and (=> (= X (tptp.zero_zero tptp.real)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N) (tptp.zero_zero tptp.real))) (=> (not (= X (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X) N) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr X) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N)))))))))
% 22.01/22.26 (assume a3693 (forall ((A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr (tptp.hAPP tptp.real tptp.real tptp.ln X)) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.powr A_1) A_1)) X)))))))
% 22.01/22.26 (assume a3694 (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) R_4)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_2)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N_2) (tptp.one_one tptp.int))))))))))
% 22.01/22.26 (assume a3695 (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.zero_zero tptp.real))) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_2)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N_2) (tptp.one_one tptp.int))))))))))
% 22.01/22.26 (assume a3696 (forall ((R_4 $$unsorted)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) N_2)) R_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_4) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N_2) (tptp.one_one tptp.int)))))))))
% 22.01/22.26 (assume a3697 (forall ((C $$unsorted) (N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.coprime A_1) B)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) A_1) B) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) C) N)) (exists ((R_2 $$unsorted) (S_1 $$unsorted)) (and (= A_1 (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) R_2) N)) (= B (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) S_1) N))))))))
% 22.01/22.26 (assume a3698 (forall ((X $$unsorted) (Y $$unsorted) (K_4 $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_5)) (=> (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) K_4)) (exists ((I_2 $$unsorted) (J_1 $$unsorted)) (and (= X (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) I_2)) (= Y (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.power_power tptp.nat) P_5) J_1))))))))
% 22.01/22.26 (assume a3699 (forall ((X $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd X) M) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) (tptp.hAPP tptp.int tptp.nat tptp.phi M))) (tptp.one_one tptp.int)) M))))))
% 22.01/22.26 (assume a3700 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2)) I_1))))
% 22.01/22.26 (assume a3701 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2)) J_2))))
% 22.01/22.26 (assume a3702 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) N) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)))))
% 22.01/22.26 (assume a3703 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) M) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) M) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N)) M) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3704 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N)))))
% 22.01/22.26 (assume a3705 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) (tptp.one_one tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a3706 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.one_one tptp.int)) M) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a3707 (forall ((I $$unsorted) (J $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I) J) (tptp.zero_zero tptp.int)) (and (= (tptp.ti tptp.int I) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int J) (tptp.zero_zero tptp.int))))))
% 22.01/22.26 (assume a3708 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd Ma) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) N_1))))))
% 22.01/22.26 (assume a3709 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)))))))
% 22.01/22.26 (assume a3710 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) M)) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)))))
% 22.01/22.26 (assume a3711 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) N)))))
% 22.01/22.26 (assume a3712 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd J_2) I_1))))
% 22.01/22.26 (assume a3713 (forall ((A_1 $$unsorted) (B $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B)) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) N)))))
% 22.01/22.26 (assume a3714 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) I_1)) J_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2))))
% 22.01/22.26 (assume a3715 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) J_2)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2))))
% 22.01/22.26 (assume a3716 (forall ((M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) M) (tptp.ti tptp.int M)))))
% 22.01/22.26 (assume a3717 (forall ((I_1 $$unsorted) (J_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2)))))
% 22.01/22.26 (assume a3718 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd X) Y)))))
% 22.01/22.26 (assume a3719 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) N) K_4))) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N))))
% 22.01/22.26 (assume a3720 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)))))
% 22.01/22.26 (assume a3721 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) B) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a3722 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) N)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a3723 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.zero_zero tptp.int)) M) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) M))))
% 22.01/22.26 (assume a3724 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) M))))
% 22.01/22.26 (assume a3725 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) N)))))
% 22.01/22.26 (assume a3726 (forall ((N $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N)) (tptp.ti tptp.int K_4)))))
% 22.01/22.26 (assume a3727 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N))))))
% 22.01/22.26 (assume a3728 (forall ((N $$unsorted) (K_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N)) K_4) (tptp.ti tptp.int K_4)))))
% 22.01/22.26 (assume a3729 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Ma) N_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N_1) Ma) (tptp.ti tptp.int Ma))))))
% 22.01/22.26 (assume a3730 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B))) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a3731 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) M) N))))))
% 22.01/22.26 (assume a3732 (forall ((N $$unsorted) (A_1 $$unsorted) (B $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))))))))
% 22.01/22.26 (assume a3733 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K_4) N) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N))))))
% 22.01/22.26 (assume a3734 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) K_4) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M))))))
% 22.01/22.26 (assume a3735 (forall ((K_4 $$unsorted) (I_1 $$unsorted) (J_2 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd I_1) J_2) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) J_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) K_4))))))
% 22.01/22.26 (assume a3736 (forall ((Ma $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.zero_zero tptp.int)) Ma) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Ma) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a3737 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K) L) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) L) (tptp.zero_zero tptp.int))) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd L) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L))))))))
% 22.01/22.26 (assume a3738 (forall ((N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_5) N))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) P_5) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3739 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_2) B_1) (tptp.one_one tptp.int)) (not (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_6)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_6) A_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) P_6) B_1))))))))
% 22.01/22.26 (assume a3740 (forall ((B $$unsorted) (A_1 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) M)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) M) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_1) B) M)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd B) M) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a3741 (forall ((N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) N) P_5)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) P_5) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a3742 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K) Ma) (tptp.one_one tptp.int)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) K)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) K)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)))))))
% 22.01/22.26 (assume a3743 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (K $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd K) Ma) (tptp.one_one tptp.int)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) A_2)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K) B_1)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)))))))
% 22.01/22.26 (assume a3744 (forall ((M $$unsorted) (N $$unsorted) (K_4 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd N) K_4) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) M)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M)))))))
% 22.01/22.26 (assume a3745 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (Ma $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd B_1) Ma) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))))))))
% 22.01/22.26 (assume a3746 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (X_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) B_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) C_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_2) B_1) (tptp.one_one tptp.int)) (exists ((K_1 $$unsorted)) (= (tptp.ti tptp.int A_2) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))))))))))
% 22.01/22.26 (assume a3747 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd Ma) N_1) (tptp.ti tptp.int K)) (exists ((S_1 $$unsorted) (T_4 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.xzgcd Ma) N_1) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) K) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) S_1) T_4))))))))
% 22.01/22.26 (assume a3748 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) C) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B) (tptp.one_one tptp.int)) (exists ((K_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_1) N))))))))
% 22.01/22.26 (assume a3749 (forall ((M $$unsorted) (N $$unsorted) (R_5 $$unsorted) (R_4 $$unsorted) (S_4 $$unsorted) (S_3 $$unsorted) (T_6 $$unsorted) (T_5 $$unsorted) (K_4 $$unsorted)) (=> (exists ((Sn $$unsorted) (Tn $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_5) R_4) S_4) S_3) T_6) T_5) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) K_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Sn) Tn)))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) R_4)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd R_5) R_4) (tptp.ti tptp.int K_4))))))
% 22.01/22.26 (assume a3750 (forall ((B $$unsorted) (A_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) N) (tptp.one_one tptp.int)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) X_2)) B) N)) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Y_2) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) Y_2)) B) N))) (= (tptp.ti tptp.int Y_2) (tptp.ti tptp.int X_2))))))))))
% 22.01/22.26 (assume a3751 (forall ((A_1 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) N) (tptp.one_one tptp.int)) (exists ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) X_2)) (tptp.one_one tptp.int)) N)))))))
% 22.01/22.26 (assume a3752 (forall ((M $$unsorted) (N $$unsorted) (S_4 $$unsorted) (S_3 $$unsorted) (T_6 $$unsorted) (T_5 $$unsorted) (R_5 $$unsorted) (R_4 $$unsorted) (K_4 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd R_5) R_4) (tptp.ti tptp.int K_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) R_4)) (exists ((Sn $$unsorted) (Tn $$unsorted)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)))))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))))))))) tptp.xzgcda M) N) R_5) R_4) S_4) S_3) T_6) T_5) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair tptp.int (tptp.product_prod tptp.int tptp.int)) K_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Sn) Tn))))))))
% 22.01/22.26 (assume a3753 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted) (X_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) B_1)) C_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) D_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) tptp.zOdd)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_2) B_1) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd B_1) C_1) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd C_1) A_2) (tptp.one_one tptp.int)) (exists ((K_1 $$unsorted) (L_3 $$unsorted) (M_2 $$unsorted)) (and (= (tptp.ti tptp.int A_2) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (= (tptp.ti tptp.int B_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) L_3) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1))) (= (tptp.ti tptp.int C_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) M_2) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)))))))))))))
% 22.01/22.26 (assume a3754 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd M) N) (tptp.ti tptp.int K_4)) (exists ((S_1 $$unsorted) (T_4 $$unsorted)) (= (tptp.ti tptp.int K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) S_1) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) T_4) N))))))))
% 22.01/22.26 (assume a3755 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) C) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) D) N)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.one_one tptp.nat)) N)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd B) C) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd C) A_1) (tptp.one_one tptp.int)) (exists ((K_1 $$unsorted) (L_3 $$unsorted) (M_2 $$unsorted)) (and (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) K_1) N)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) L_3) N)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) C) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) M_2) N)))))))))))
% 22.01/22.26 (assume a3756 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int)))) (exists ((C_4 $$unsorted) (D_3 $$unsorted)) (and (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B)) C_4)) (= (tptp.ti tptp.int B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_1) B)) D_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd C_4) D_3) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a3757 (forall ((Sa $$unsorted) (Ta $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Sa) Ta)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.product_Pair (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) A_2) Sa)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) B_1) Ta))) tptp.pair_less))))))
% 22.01/22.26 (assume a3758 (forall ((Sa $$unsorted) (Ta $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) A_2) B_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.product_Pair (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) A_2) Sa)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) B_1) Ta))) tptp.pair_less)))))
% 22.01/22.26 (assume a3759 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (A_8 $$unsorted) (B_7 $$unsorted) (R_1 $$unsorted) (Sa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b))) (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.product_prod X_a X_b) (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b))) (tptp.product_Pair (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_8) B_7))) (tptp.hAPP (tptp.fun (tptp.product_prod X_b X_b) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod X_b X_b) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod X_a X_b) (tptp.product_prod X_a X_b)) tptp.bool)) (tptp.lex_prod X_a X_b) R_1) Sa))) (or (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) A_2) A_8)) R_1)) (and (= (tptp.ti X_a A_2) (tptp.ti X_a A_8)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_b X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_b X_b) (tptp.fun (tptp.fun (tptp.product_prod X_b X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_b X_b)) (tptp.hAPP X_b (tptp.product_prod X_b X_b) (tptp.hAPP X_b (tptp.fun X_b (tptp.product_prod X_b X_b)) (tptp.product_Pair X_b X_b) B_1) B_7)) Sa)))))))
% 22.01/22.26 (assume a3760 (forall ((Sa $$unsorted) (Ta $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Sa) Ta)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.product_Pair (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) A_2) Sa)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) B_1) Ta))) tptp.pair_leq))))))
% 22.01/22.26 (assume a3761 (forall ((Sa $$unsorted) (Ta $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) A_2) B_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat))) (tptp.product_Pair (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) A_2) Sa)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) B_1) Ta))) tptp.pair_leq)))))
% 22.01/22.26 (assume a3762 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_1)) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a X_3 N_3))))) K_1)))))))))))
% 22.01/22.26 (assume a3763 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((K_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_1)) (exists ((X_2 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_2)))) K_1)))))))))))
% 22.01/22.26 (assume a3764 (forall ((Y $$unsorted) (X $$unsorted)) (exists ((R_2 $$unsorted) (A_4 $$unsorted)) (and (= X (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.cos A_4))) (= Y (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_2) (tptp.hAPP tptp.real tptp.real tptp.sin A_4)))))))
% 22.01/22.26 (assume a3765 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)))))))
% 22.01/22.26 (assume a3766 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_2))))))))))
% 22.01/22.26 (assume a3767 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_3)))))))))))
% 22.01/22.26 (assume a3768 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_3)))))))))))
% 22.01/22.26 (assume a3769 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (K_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_3)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3))))))))
% 22.01/22.26 (assume a3770 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_2))))))))))
% 22.01/22.26 (assume a3771 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (K_3 $$unsorted) (N_4 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_4) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_3)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)))))))
% 22.01/22.26 (assume a3772 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (K_3 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)))))))
% 22.01/22.26 (assume a3773 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (not (forall ((K_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (not (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a X_3 N_2))) K_2))))))))))))
% 22.01/22.26 (assume a3774 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X2_1 $$unsorted) (Y $$unsorted) (X1_1 $$unsorted) (E_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) X1_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) E_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) X2_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) E_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X1_1) X2_1)) E_1))))))))
% 22.01/22.26 (assume a3775 (forall ((X_a $$unsorted)) (=> (tptp.dist_norm X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)))))))
% 22.01/22.26 (assume a3776 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted) (A_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) A_1) X)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) A_1) Y))))))))
% 22.01/22.26 (assume a3777 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Z_1)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) Z_1))))))))
% 22.01/22.26 (assume a3778 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) Z_1))))))))
% 22.01/22.26 (assume a3779 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((Y $$unsorted) (Z_1 $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Z_1))))))))
% 22.01/22.26 (assume a3780 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted) (E_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Z_1)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) Z_1))) E_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) E_1)))))))
% 22.01/22.26 (assume a3781 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Z_1 $$unsorted) (Y $$unsorted) (E_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Z_1)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) Z_1))) E_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) E_1)))))))
% 22.01/22.26 (assume a3782 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)))))))
% 22.01/22.26 (assume a3783 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_1) Y_1)) (tptp.zero_zero tptp.real))) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.26 (assume a3784 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y))))))))
% 22.01/22.26 (assume a3785 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_1) Y_1))) (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))))))))
% 22.01/22.26 (assume a3786 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (not (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_1) Y_1))))))))
% 22.01/22.26 (assume a3787 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y)) (tptp.zero_zero tptp.real))))))))
% 22.01/22.26 (assume a3788 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) X) (tptp.zero_zero tptp.real))))))
% 22.01/22.26 (assume a3789 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_1) Y_1) (tptp.zero_zero tptp.real)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.26 (assume a3790 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) Y) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) Y) X))))))
% 22.01/22.26 (assume a3791 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.dist_dist tptp.real) X) Y) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)))))
% 22.01/22.26 (assume a3792 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.real) (tptp.dist_dist tptp.complex) X) Y) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.complex (tptp.fun tptp.complex tptp.complex) (tptp.minus_minus tptp.complex) X) Y)))))
% 22.01/22.26 (assume a3793 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X2_1 $$unsorted) (X1_1 $$unsorted) (Y $$unsorted) (E_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X1_1) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) E_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X2_1) Y)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) E_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X1_1) X2_1)) E_1))))))))
% 22.01/22.26 (assume a3794 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2))) E))))))))))))))
% 22.01/22.26 (assume a3795 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((E_2 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E_2)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2))) E_2)))))))))))))
% 22.01/22.26 (assume a3796 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X) (tptp.zero_zero X_a)))))))
% 22.01/22.26 (assume a3797 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted)) (=> (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((M_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) M_2)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2))) E))))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)))))))
% 22.01/22.26 (assume a3798 (forall ((Z_1 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (not (= (tptp.ti tptp.int Z_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2)))) (not (forall ((N_2 $$unsorted)) (not (= (tptp.ti tptp.int Z_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))))))))
% 22.01/22.26 (assume a3799 (forall ((Z $$unsorted) (P_1 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 Z))))))
% 22.01/22.26 (assume a3800 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (exists ((Y_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_2) (tptp.zero_zero tptp.real))))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real F B_1)) (tptp.hAPP tptp.real tptp.real F A_2)))))))
% 22.01/22.26 (assume a3801 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (exists ((Y_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) Y_2)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real F A_2)) (tptp.hAPP tptp.real tptp.real F B_1)))))))
% 22.01/22.26 (assume a3802 (forall ((Ma $$unsorted) (N_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((M_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 M_2) (tptp.zero_zero tptp.nat)))) (=> (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 N_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) M_2) N_2))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 M_2) N_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 Ma) N_1))))))
% 22.01/22.26 (assume a3803 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted) (Code_numeral $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral X_a (tptp.hAPP (tptp.fun tptp.code_code_numeral X_a) (tptp.fun tptp.code_code_numeral X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.code_code_numeral X_a) (tptp.fun tptp.code_code_numeral X_a)) (tptp.code_c600343653l_case X_a) F1) F2) (tptp.hAPP tptp.code_code_numeral tptp.code_code_numeral tptp.code_S1047413653umeral Code_numeral)) (tptp.hAPP tptp.code_code_numeral X_a F2 Code_numeral))))
% 22.01/22.26 (assume a3804 (forall ((N $$unsorted) (P_5 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.one_one tptp.nat)) P_5)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) P_5) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) P_5) (tptp.hAPP tptp.nat tptp.nat tptp.fact N)))))))
% 22.01/22.26 (assume a3805 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_mod tptp.quickcheck_code_int) N) M) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of M))))))
% 22.01/22.26 (assume a3806 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int N_1) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int Ma)) (= (tptp.ti tptp.int N_1) (tptp.ti tptp.int Ma)))))
% 22.01/22.26 (assume a3807 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of X)) X)))
% 22.01/22.26 (assume a3808 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of K_4)) K_4)))
% 22.01/22.26 (assume a3809 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int N)) (tptp.ti tptp.int N))))
% 22.01/22.26 (assume a3810 (= (tptp.number_number_of tptp.quickcheck_code_int) tptp.quickcheck_of_int))
% 22.01/22.26 (assume a3811 (forall ((M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M) N)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.fact M)) (tptp.hAPP tptp.nat tptp.nat tptp.fact N))))))
% 22.01/22.26 (assume a3812 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.times_times tptp.quickcheck_code_int) N) M) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of M))))))
% 22.01/22.26 (assume a3813 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.plus_plus tptp.quickcheck_code_int) N) M) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of M))))))
% 22.01/22.26 (assume a3814 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.minus_minus tptp.quickcheck_code_int) N) M) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of M))))))
% 22.01/22.26 (assume a3815 (= (tptp.zero_zero tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.zero_zero tptp.int))))
% 22.01/22.26 (assume a3816 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.fact N)))))
% 22.01/22.26 (assume a3817 (= (tptp.hAPP tptp.nat tptp.nat tptp.fact (tptp.zero_zero tptp.nat)) (tptp.one_one tptp.nat)))
% 22.01/22.26 (assume a3818 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat tptp.fact (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat tptp.fact N)))))
% 22.01/22.26 (assume a3819 (forall ((N $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.one_one tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.fact N)))))
% 22.01/22.26 (assume a3820 (= (tptp.one_one tptp.quickcheck_code_int) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a3821 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted)) (= (tptp.hAPP tptp.code_code_numeral X_a (tptp.hAPP (tptp.fun tptp.code_code_numeral X_a) (tptp.fun tptp.code_code_numeral X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.code_code_numeral X_a) (tptp.fun tptp.code_code_numeral X_a)) (tptp.code_c600343653l_case X_a) F1) F2) (tptp.zero_zero tptp.code_code_numeral)) (tptp.ti X_a F1))))
% 22.01/22.26 (assume a3822 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.quickcheck_code_int tptp.quickcheck_code_int (tptp.hAPP tptp.quickcheck_code_int (tptp.fun tptp.quickcheck_code_int tptp.quickcheck_code_int) (tptp.div_div tptp.quickcheck_code_int) N) M) (tptp.hAPP tptp.int tptp.quickcheck_code_int tptp.quickcheck_of_int (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of N)) (tptp.hAPP tptp.quickcheck_code_int tptp.int tptp.quickcheck_int_of M))))))
% 22.01/22.26 (assume a3823 (forall ((N $$unsorted)) (exists ((P_6 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool tptp.prime P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N) P_6)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) P_6) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.fact N))))))))
% 22.01/22.26 (assume a3824 (forall ((F $$unsorted)) (=> (forall ((I_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat tptp.suc I_2))) (tptp.hAPP tptp.nat tptp.nat F I_2)))) (exists ((I_2 $$unsorted)) (forall ((K_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I_2) K_1)) (tptp.hAPP tptp.nat tptp.nat F I_2)))))))
% 22.01/22.26 (assume a3825 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A0) A1))) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_4) B_4))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_4) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_4)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B_4)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A_4) B_4))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A0) A1))))))
% 22.01/22.26 (assume a3826 (forall ((X_a $$unsorted) (R_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.refl X_a) R_1)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) X_2) X_2)) R_1))))))
% 22.01/22.26 (assume a3827 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.upto_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A0) A1))) (=> (forall ((I_2 $$unsorted) (J_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.upto_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) I_2) J_1))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) I_2) J_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_2) (tptp.one_one tptp.int))) J_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 I_2) J_1))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A0) A1))))))
% 22.01/22.26 (assume a3828 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.lazy_small_lazy_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A0) A1))) (=> (forall ((D_3 $$unsorted) (I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.lazy_small_lazy_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) D_3) I_2))) (=> (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) D_3) I_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 D_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) I_2) (tptp.one_one tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 D_3) I_2))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) P_1 A0) A1))))))
% 22.01/22.26 (assume a3829 (forall ((X_a $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (=> (not (= (tptp.hAPP (tptp.list X_a) tptp.nat (tptp.size_size (tptp.list X_a)) Xs) (tptp.hAPP (tptp.list X_a) tptp.nat (tptp.size_size (tptp.list X_a)) Ys))) (not (= Xs Ys)))))
% 22.01/22.26 (assume a3830 (forall ((X_a $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.list X_a) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.list X_a)) M_1)) (exists ((N_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.list X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.list X_a) (tptp.fun (tptp.fun (tptp.list X_a) tptp.bool) tptp.bool) (tptp.member (tptp.list X_a)) X_2) M_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP (tptp.list X_a) tptp.nat (tptp.size_size (tptp.list X_a)) X_2)) N_2))))))))
% 22.01/22.26 (assume a3831 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((K_4 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K_4) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K_4) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K_4)))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K_4) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K_4) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 K_4)))))))))
% 22.01/22.26 (assume a3832 (forall ((Ma $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Ma) (tptp.one_one tptp.int))) Ma))))
% 22.01/22.26 (assume a3833 (= (tptp.real_1 tptp.int) (tptp.ring_1_of_int tptp.real)))
% 22.01/22.26 (assume a3834 (= (tptp.real_1 tptp.int) (tptp.ring_1_of_int tptp.real)))
% 22.01/22.26 (assume a3835 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.int tptp.complex (tptp.ring_1_of_int tptp.complex) Z_1)) (tptp.zero_zero tptp.real))))
% 22.01/22.26 (assume a3836 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) (tptp.ti tptp.int Z_1))))))
% 22.01/22.26 (assume a3837 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((V $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) V)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) V))))))
% 22.01/22.26 (assume a3838 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Z_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) N)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) N))))))
% 22.01/22.26 (assume a3839 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X))) X))))))
% 22.01/22.26 (assume a3840 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Z_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)))))))
% 22.01/22.26 (assume a3841 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W_1)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) W_1) Z)))))))
% 22.01/22.26 (assume a3842 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W_1)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) W_1) Z)))))))
% 22.01/22.26 (assume a3843 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.int tptp.complex (tptp.ring_1_of_int tptp.complex) Z_1)) (tptp.hAPP tptp.int tptp.real (tptp.ring_1_of_int tptp.real) Z_1))))
% 22.01/22.26 (assume a3844 (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.int tptp.complex (tptp.ring_1_of_int tptp.complex) Z_1)) (tptp.hAPP tptp.int tptp.complex (tptp.ring_1_of_int tptp.complex) Z_1))))
% 22.01/22.26 (assume a3845 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.int tptp.real (tptp.ring_1_of_int tptp.real) Z_1)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))))))
% 22.01/22.26 (assume a3846 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((W_1 $$unsorted) (Z $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W_1) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (= (tptp.ti tptp.int W_1) (tptp.ti tptp.int Z)))))))
% 22.01/22.26 (assume a3847 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.ring_1_of_int tptp.real) Z_1)))))))
% 22.01/22.26 (assume a3848 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) (tptp.ti tptp.int Z_1))))))
% 22.01/22.26 (assume a3849 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.ring_1_of_int tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N))))
% 22.01/22.26 (assume a3850 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((Z $$unsorted)) (= (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z) (tptp.zero_zero X_a)) (= (tptp.ti tptp.int Z) (tptp.zero_zero tptp.int)))))))
% 22.01/22.26 (assume a3851 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((Z $$unsorted)) (= (= (tptp.zero_zero X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (= (tptp.ti tptp.int Z) (tptp.zero_zero tptp.int)))))))
% 22.01/22.26 (assume a3852 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.zero_zero tptp.int)) (tptp.zero_zero X_a)))))
% 22.01/22.26 (assume a3853 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) K_4) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K_4))))))
% 22.01/22.26 (assume a3854 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) X) (tptp.hAPP tptp.int tptp.real (tptp.ring_1_of_int tptp.real) X))))
% 22.01/22.26 (assume a3855 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W) (tptp.hAPP tptp.int tptp.int (tptp.ring_1_of_int tptp.int) W))))
% 22.01/22.26 (assume a3856 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.complex (tptp.number_number_of tptp.complex) W) (tptp.hAPP tptp.int tptp.complex (tptp.ring_1_of_int tptp.complex) W))))
% 22.01/22.26 (assume a3857 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.one_one tptp.int)) (tptp.one_one X_a)))))
% 22.01/22.26 (assume a3858 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X))))))))
% 22.01/22.26 (assume a3859 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N))))))
% 22.01/22.26 (assume a3860 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)))))))
% 22.01/22.26 (assume a3861 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)))))))
% 22.01/22.26 (assume a3862 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((W $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) W) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) W)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)))))))
% 22.01/22.26 (assume a3863 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) tptp.min_1)) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) tptp.min_1)))))
% 22.01/22.26 (assume a3864 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))))))))
% 22.01/22.26 (assume a3865 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) X_1)))))))
% 22.01/22.26 (assume a3866 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) X_1)))))))
% 22.01/22.26 (assume a3867 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))))))))
% 22.01/22.26 (assume a3868 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) Z_1))))))
% 22.01/22.26 (assume a3869 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) Z_1))))))
% 22.01/22.26 (assume a3870 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) Z_1))))))
% 22.01/22.26 (assume a3871 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)) Z_1))))))
% 22.01/22.26 (assume a3872 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Z)))))))
% 22.01/22.26 (assume a3873 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z) (tptp.zero_zero tptp.int))))))))
% 22.01/22.26 (assume a3874 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z)))))))
% 22.01/22.26 (assume a3875 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z) (tptp.zero_zero tptp.int))))))))
% 22.01/22.26 (assume a3876 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Z_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Z_1)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_1)) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)))))))
% 22.01/22.26 (assume a3877 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) (tptp.one_one X_a)))) (= (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X) (tptp.ti tptp.int Z_1))))))))
% 22.01/22.26 (assume a3878 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1)) (tptp.one_one X_a))) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_1))) (= (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X) (tptp.ti tptp.int Z_1))))))))
% 22.01/22.26 (assume a3879 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X))) (tptp.one_one X_a))) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X)))))))))
% 22.01/22.26 (assume a3880 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.one_one X_a))) X_1)))))))
% 22.01/22.26 (assume a3881 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X_1)) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.one_one X_a)))))))))
% 22.01/22.26 (assume a3882 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1)) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.one_one X_a)))))))))
% 22.01/22.26 (assume a3883 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((Z $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Z) (tptp.hAPP X_a tptp.int (tptp.archimedean_ceiling X_a) X_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.one_one X_a))) X_1)))))))
% 22.01/22.26 (assume a3884 (forall ((X_a $$unsorted)) (=> (tptp.archim1727834104eiling X_a) (forall ((X $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X))) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP X_a tptp.int (tptp.archim2085082626_floor X_a) X)) (tptp.one_one tptp.int))))))))))
% 22.01/22.26 (assume a3885 (forall ((Ma $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat tptp.phi Ma) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))
% 22.01/22.26 (assume a3886 (forall ((A_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_2) Ma) (tptp.one_one tptp.int)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) X_2) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma))) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) Y_2) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Y_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))) (= (tptp.ti tptp.int Y_2) (tptp.ti tptp.int X_2))))))))))
% 22.01/22.26 (assume a3887 (forall ((X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd X_1) Ma) (tptp.one_one tptp.int)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.noXRRset Ma) X_1)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))))
% 22.01/22.26 (assume a3888 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((Z_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Z_2) (tptp.one_one tptp.int)))))))))))
% 22.01/22.26 (assume a3889 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) X_2)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) (tptp.one_one tptp.int))))) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Y_2)) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Y_2) (tptp.one_one tptp.int)))))) (= (tptp.ti tptp.int Y_2) (tptp.ti tptp.int X_2))))))))))
% 22.01/22.26 (assume a3890 (forall ((X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd X_1) Ma) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.noXRRset Ma) X_1)) Ma))))))
% 22.01/22.26 (assume a3891 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd A_2) Ma) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3892 (forall ((A_2 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) B_1) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) B_1) A_3)) (= (tptp.ti tptp.int A_2) (tptp.ti tptp.int B_1)))))))))
% 22.01/22.26 (assume a3893 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2)) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))))))
% 22.01/22.26 (assume a3894 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma))))))))
% 22.01/22.26 (assume a3895 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2)) Ma)))))))
% 22.01/22.26 (assume a3896 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((Z_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2)) X)))))))
% 22.01/22.26 (assume a3897 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((Z_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2))))))))
% 22.01/22.26 (assume a3898 (forall ((X_a $$unsorted)) (=> (tptp.archim1804426504_field X_a) (forall ((X $$unsorted)) (exists ((Z_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2))))))))
% 22.01/22.26 (assume a3899 (forall ((A_3 $$unsorted) (Ma $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) A_3) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.rsetR Ma))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) A_3) (tptp.hAPP tptp.int tptp.nat tptp.phi Ma))))))
% 22.01/22.26 (assume a3900 (forall ((A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) A_3) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.rsetR Ma))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) A_3)))))
% 22.01/22.26 (assume a3901 (forall ((A_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.rsetR Ma))))))
% 22.01/22.26 (assume a3902 (forall ((A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma)) A_3) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma))))))
% 22.01/22.26 (assume a3903 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_lcm X) Y) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_lcm (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)))))))
% 22.01/22.26 (assume a3904 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (= (tptp.ti X_a B_1) (tptp.hAPP X_b X_a F X_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3)))))))
% 22.01/22.26 (assume a3905 (forall ((X_b $$unsorted) (X_a $$unsorted) (H $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) F_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) H) F_1))))))
% 22.01/22.26 (assume a3906 (forall ((X_a $$unsorted) (X_b $$unsorted) (B_2 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3))) (exists ((AA $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) AA) A_3)) (= (tptp.ti (tptp.fun X_a tptp.bool) B_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) AA)))))))
% 22.01/22.26 (assume a3907 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) B_2))))))
% 22.01/22.26 (assume a3908 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3)) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.image (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.pow X_b) A_3))) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2))))))
% 22.01/22.26 (assume a3909 (forall ((X_a $$unsorted) (X_b $$unsorted) (Z $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) A_3)) (= (tptp.ti X_a Z) (tptp.hAPP X_b X_a F X_2)))))))
% 22.01/22.26 (assume a3910 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3))))))
% 22.01/22.26 (assume a3911 (forall ((X_b $$unsorted) (X_a $$unsorted) (B_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_1) A_3)) (=> (= (tptp.ti X_b B_1) (tptp.hAPP X_a X_b F X_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) B_1) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3)))))))
% 22.01/22.26 (assume a3912 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3) (tptp.ti (tptp.fun X_a tptp.bool) B_2)) (= (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.image (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.pow X_b) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) B_2)))))
% 22.01/22.26 (assume a3913 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) B_2))) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.minus_minus (tptp.fun X_b tptp.bool)) A_3) B_2))))))
% 22.01/22.26 (assume a3914 (forall ((X_b $$unsorted) (X_a $$unsorted) (B_2 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) B_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2))))))
% 22.01/22.26 (assume a3915 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3))) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))))))
% 22.01/22.26 (assume a3916 (forall ((F $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.resSet Ma) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) A_3)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) A_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP tptp.int tptp.int F X_2)) (tptp.hAPP tptp.int tptp.int F Xa)) Ma)) (= (tptp.ti tptp.int X_2) (tptp.ti tptp.int Xa))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.resSet Ma) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) F) A_3))))))))
% 22.01/22.26 (assume a3917 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3))) (exists ((C_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) C_3) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) C_3)) (= (tptp.ti (tptp.fun X_a tptp.bool) B_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) C_3))))))))
% 22.01/22.26 (assume a3918 (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) B_2))))))
% 22.01/22.26 (assume a3919 (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun tptp.nat tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) B_2))))))
% 22.01/22.26 (assume a3920 (forall ((A_3 $$unsorted) (B_2 $$unsorted)) (= (= A_3 B_2) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) B_2)))))
% 22.01/22.26 (assume a3921 (forall ((X_1 $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3))))))
% 22.01/22.26 (assume a3922 (forall ((A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)) A_3)))
% 22.01/22.26 (assume a3923 (forall ((A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)))))
% 22.01/22.26 (assume a3924 (forall ((A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3))))))
% 22.01/22.26 (assume a3925 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) (tptp.image tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.multInvPair A_2) P_4)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.sRStar P_4)))))
% 22.01/22.26 (assume a3926 (forall ((X_a $$unsorted) (X_b $$unsorted) (B_2 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2))))))
% 22.01/22.26 (assume a3927 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) (tptp.hAPP X_a X_b F X_2)) B_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3)) B_2)))))
% 22.01/22.26 (assume a3928 (forall ((S $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) S))) (forall ((M_2 $$unsorted)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) N_2) S))))))))
% 22.01/22.26 (assume a3929 (forall ((S $$unsorted)) (= (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) S))) (forall ((M_2 $$unsorted)) (exists ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) N_2) S))))))))
% 22.01/22.26 (assume a3930 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_lcm X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) X) Y)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X) Y)))))
% 22.01/22.26 (assume a3931 (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set B_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun tptp.int tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) B_2))))))))
% 22.01/22.26 (assume a3932 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X) Y))))
% 22.01/22.26 (assume a3933 (forall ((X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1))))))
% 22.01/22.26 (assume a3934 (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set S)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) S)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)))))))
% 22.01/22.26 (assume a3935 (forall ((C_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) C_2)))))
% 22.01/22.26 (assume a3936 (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set B_2)) (= (= A_3 B_2) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) B_2)))))))
% 22.01/22.26 (assume a3937 (forall ((X $$unsorted) (Y $$unsorted)) (and (=> (= Y (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X) Y) X)) (=> (not (= Y (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X) Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd Y) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X) Y)))))))
% 22.01/22.26 (assume a3938 (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3)) A_3))))
% 22.01/22.26 (assume a3939 (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3)))))))
% 22.01/22.26 (assume a3940 (forall ((A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3))))))
% 22.01/22.26 (assume a3941 (forall ((B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set B_2)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.int tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) B_2))))))))
% 22.01/22.26 (assume a3942 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.accp (tptp.product_prod tptp.nat tptp.nat)) tptp.nat_gcd_rel) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) X_1) Y_1))) (and (=> (= Y_1 (tptp.zero_zero tptp.nat)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X_1) Y_1) X_1)) (=> (not (= Y_1 (tptp.zero_zero tptp.nat))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd X_1) Y_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd Y_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X_1) Y_1))))))))
% 22.01/22.26 (assume a3943 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_gcd X) Y) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat_gcd (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)))))))
% 22.01/22.26 (assume a3944 (forall ((P_1 $$unsorted) (A0 $$unsorted) (A1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.accp (tptp.product_prod tptp.nat tptp.nat)) tptp.nat_gcd_rel) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) A0) A1))) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.accp (tptp.product_prod tptp.nat tptp.nat)) tptp.nat_gcd_rel) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) X_2) Y_2))) (=> (=> (not (= Y_2 (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 Y_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_mod tptp.nat) X_2) Y_2)))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 X_2) Y_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) P_1 A0) A1))))))
% 22.01/22.26 (assume a3945 (forall ((N_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_4)) (exists ((M_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) N_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) X_2) M_2))))))))
% 22.01/22.26 (assume a3946 (forall ((N_4 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_4)) (exists ((M_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) N_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_2) M_2))))))))
% 22.01/22.26 (assume a3947 (forall ((N_1 $$unsorted) (N_4 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) N_4)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_2) N_1)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) N_4)))))
% 22.01/22.26 (assume a3948 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_gr676655987ssThan tptp.int) L) U_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) U_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) L) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a3949 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_gr676655987ssThan tptp.int) L) U_1)))))
% 22.01/22.26 (assume a3950 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) (tptp.uminus_uminus X_a)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_gr676655987ssThan X_a) X_1) Y_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_gr676655987ssThan X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)))))))
% 22.01/22.26 (assume a3951 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_1) (tptp.field_char_0_Rats tptp.real))) (not (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (not (= N_2 (tptp.zero_zero tptp.nat))) (=> (= (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) M_2)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_2))) (not (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) M_2) N_2) (tptp.one_one tptp.nat))))))))))
% 22.01/22.26 (assume a3952 (forall ((X_a $$unsorted)) (= (tptp.zero_frac X_a) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) X_a (tptp.abs_Frac X_a) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3953 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_gr676655987ssThan tptp.nat) L) U_1)))))
% 22.01/22.26 (assume a3954 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.field_char_0_Rats tptp.real)))))
% 22.01/22.26 (assume a3955 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_gr676655987ssThan tptp.nat) L) U_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) U_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc L)))))
% 22.01/22.26 (assume a3956 (forall ((X_a $$unsorted)) (= (tptp.one_frac X_a) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) X_a (tptp.abs_Frac X_a) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3957 (forall ((X_a $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.number_of_frac X_a) N) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) X_a (tptp.abs_Frac X_a) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) N) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a3958 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) (tptp.field_char_0_Rats tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) Y_1))))))))
% 22.01/22.26 (assume a3959 (forall ((F $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_1) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) A_2) B_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) Y_1) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) A_2) B_1))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.zero_zero tptp.real))))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real F Y_1))))))))
% 22.01/22.26 (assume a3960 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.field_char_0_Rats X_a)))))))))
% 22.01/22.26 (assume a3961 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.field_char_0_Rats X_a))) (=> (not (= (tptp.ti X_a B_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1)) (tptp.field_char_0_Rats X_a))))))))))
% 22.01/22.26 (assume a3962 (forall ((K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.iszero tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.iszero tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K))))))
% 22.01/22.26 (assume a3963 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.zero_zero X_a)) (tptp.field_char_0_Rats X_a))))))
% 22.01/22.26 (assume a3964 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) (tptp.field_char_0_Rats X_a)))))))))
% 22.01/22.26 (assume a3965 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) (tptp.field_char_0_Rats X_a)))))))))
% 22.01/22.26 (assume a3966 (forall ((X_a $$unsorted)) (=> (and (tptp.number_ring X_a) (tptp.field_char_0 X_a)) (forall ((W_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.field_char_0_Rats X_a)))))))
% 22.01/22.26 (assume a3967 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.one_one X_a)) (tptp.field_char_0_Rats X_a))))))
% 22.01/22.26 (assume a3968 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) (tptp.field_char_0_Rats X_a)))))))))
% 22.01/22.26 (assume a3969 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((N_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) N_1)) (tptp.field_char_0_Rats X_a))))))))
% 22.01/22.26 (assume a3970 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (tptp.field_char_0_Rats X_a))))))))
% 22.01/22.26 (assume a3971 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.field_char_0 X_a)) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1)) (tptp.field_char_0_Rats X_a)))))))))
% 22.01/22.26 (assume a3972 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.field_char_0_Rats X_a)))))))
% 22.01/22.26 (assume a3973 (forall ((X_a $$unsorted)) (=> (and (tptp.field_inverse_zero X_a) (tptp.field_char_0 X_a)) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.field_char_0_Rats X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.field_char_0_Rats X_a))))))))
% 22.01/22.26 (assume a3974 (forall ((X_a $$unsorted)) (=> (tptp.field_char_0 X_a) (forall ((Z $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.field_char_0_Rats X_a)))))))
% 22.01/22.26 (assume a3975 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) Y_1)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) (tptp.field_char_0_Rats tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) Y_1)))))))
% 22.01/22.26 (assume a3976 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_1) X_1)) (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) Y_1) X_1)) X_1))))
% 22.01/22.26 (assume a3977 (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_1) X_3)) (=> (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) X_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) Z_2))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) X_3)))))))
% 22.01/22.26 (assume a3978 (forall ((Z $$unsorted) (X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_1) X_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) X_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) Z)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) X_3)))))))
% 22.01/22.26 (assume a3979 (forall ((K_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4))))
% 22.01/22.26 (assume a3980 (forall ((K_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) K_4) (tptp.zero_zero tptp.int))) (tptp.zero_zero tptp.rat))))
% 22.01/22.26 (assume a3981 (forall ((K_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) K_4)) (tptp.zero_zero tptp.rat))))
% 22.01/22.26 (assume a3982 (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.one_one tptp.int))) (tptp.one_one tptp.rat)))
% 22.01/22.26 (assume a3983 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) L_4))) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) L_4)))))
% 22.01/22.26 (assume a3984 (forall ((K_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4))) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.one_one tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)))))
% 22.01/22.26 (assume a3985 (forall ((Z $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) Z) X_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) X_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) Z)))) (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) X_3) Z)))))
% 22.01/22.26 (assume a3986 (forall ((Z $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_1) X_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_1) X_1)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) X_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) Z)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) X_3))))))))
% 22.01/22.26 (assume a3987 (forall ((Q_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) Q_3) (tptp.zero_zero tptp.rat))) (= (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) Q_3) (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) Q_3))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) Q_3) (tptp.zero_zero tptp.rat)))) (= (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) Q_3) Q_3)))))
% 22.01/22.26 (assume a3988 (forall ((Q_3 $$unsorted)) (and (=> (= Q_3 (tptp.zero_zero tptp.rat)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.sgn_sgn tptp.rat) Q_3) (tptp.zero_zero tptp.rat))) (=> (not (= Q_3 (tptp.zero_zero tptp.rat))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) Q_3)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.sgn_sgn tptp.rat) Q_3) (tptp.one_one tptp.rat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) Q_3))) (= (tptp.hAPP tptp.rat tptp.rat (tptp.sgn_sgn tptp.rat) Q_3) (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) (tptp.one_one tptp.rat)))))))))
% 22.01/22.26 (assume a3989 (forall ((Q_3 $$unsorted) (R_4 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) Q_3) R_4) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.times_times tptp.rat) Q_3) (tptp.hAPP tptp.rat tptp.rat (tptp.inverse_inverse tptp.rat) R_4)))))
% 22.01/22.26 (assume a3990 (forall ((P_5 $$unsorted) (Q_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Q_3) (tptp.zero_zero tptp.int))) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Q_3)))))))
% 22.01/22.26 (assume a3991 (forall ((P_5 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.rat tptp.rat (tptp.sgn_sgn tptp.rat) P_5)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of P_5)))) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a3992 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of A_1) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of B)) (= A_1 B))))
% 22.01/22.26 (assume a3993 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of A_2) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of B_1)) (= A_2 B_1))))
% 22.01/22.26 (assume a3994 (forall ((Q_3 $$unsorted) (R_4 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.minus_minus tptp.rat) Q_3) R_4) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.plus_plus tptp.rat) Q_3) (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) R_4)))))
% 22.01/22.26 (assume a3995 (forall ((Z $$unsorted) (W_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) Z) W_1)) (and (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) Z) W_1)) (not (= Z W_1))))))
% 22.01/22.26 (assume a3996 (forall ((R_4 $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of R_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Q_3)))))
% 22.01/22.26 (assume a3997 (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.one_one tptp.rat)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.one_one tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a3998 (forall ((R_4 $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize R_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Q_3)))))
% 22.01/22.26 (assume a3999 (forall ((P_5 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) (tptp.zero_zero tptp.int))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4000 (forall ((P_5 $$unsorted) (R_4 $$unsorted) (S_3 $$unsorted) (Q_3 $$unsorted)) (=> (not (= (tptp.ti tptp.int Q_3) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int S_3) (tptp.zero_zero tptp.int))) (=> (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) R_4) S_3))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) P_5) S_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) R_4) Q_3)))))))
% 22.01/22.26 (assume a4001 (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.zero_zero tptp.rat)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4002 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4003 (forall ((R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) R_4)) (not (forall ((S_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) S_1)) (forall ((T_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) T_4)) (not (= R_4 (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.plus_plus tptp.rat) S_1) T_4)))))))))))
% 22.01/22.26 (assume a4004 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.product_Pair (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) X_1) Y_1)) tptp.ratrel)) (and (not (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) X_1) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) Y_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) X_1)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) Y_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) Y_1)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) X_1)))))))
% 22.01/22.26 (assume a4005 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.one_one tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)))))
% 22.01/22.26 (assume a4006 (forall ((R_4 $$unsorted) (S_3 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) R_4)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) S_3))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) R_4)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) S_3)))))
% 22.01/22.26 (assume a4007 (forall ((A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract P_5) Q_3) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)))))
% 22.01/22.26 (assume a4008 (forall ((A_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4009 (= (tptp.one_one tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.one_one tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4010 (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.one_one tptp.int)) (tptp.one_one tptp.int)) (tptp.one_one tptp.rat)))
% 22.01/22.26 (assume a4011 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.zero_zero tptp.int)) K_4) (tptp.zero_zero tptp.rat))))
% 22.01/22.26 (assume a4012 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract K_4) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.rat))))
% 22.01/22.26 (assume a4013 (forall ((A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.zero_zero tptp.int)) A_1) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.zero_zero tptp.int)) C))))
% 22.01/22.26 (assume a4014 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.rat (tptp.semiring_1_of_nat tptp.rat) K_4) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) K_4)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4015 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) K_4)) (tptp.one_one tptp.int)) (tptp.hAPP tptp.nat tptp.rat (tptp.semiring_1_of_nat tptp.rat) K_4))))
% 22.01/22.26 (assume a4016 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) K_4) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract K_4) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4017 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract K_4) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) K_4))))
% 22.01/22.26 (assume a4018 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract K_4) L_4) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) K_4)) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) L_4)))))
% 22.01/22.26 (assume a4019 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) W) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract W) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4020 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.int (tptp.archim2085082626_floor tptp.rat) X))))
% 22.01/22.26 (assume a4021 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat tptp.int (tptp.archim2085082626_floor tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))))
% 22.01/22.26 (assume a4022 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.inverse_inverse tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract B) A_1))))
% 22.01/22.26 (assume a4023 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B))))
% 22.01/22.26 (assume a4024 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (not (= (tptp.ti tptp.int C) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)))))
% 22.01/22.26 (assume a4025 (forall ((A_2 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int B_1) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int D_1) (tptp.zero_zero tptp.int))) (= (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C_1) D_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) B_1)))))))
% 22.01/22.26 (assume a4026 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C) D)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) D)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) C)))))
% 22.01/22.26 (assume a4027 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) B))))
% 22.01/22.26 (assume a4028 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.times_times tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C) D)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) D)))))
% 22.01/22.26 (assume a4029 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B)))))
% 22.01/22.26 (assume a4030 (forall ((A_1 $$unsorted) (B $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_1) B)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract P_5) Q_3) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)))))
% 22.01/22.26 (assume a4031 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X_1)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y_1))) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) X_1) Y_1)))))
% 22.01/22.26 (assume a4032 (= (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.zero_zero tptp.rat)) (tptp.zero_zero tptp.real)))
% 22.01/22.26 (assume a4033 (= (tptp.zero_zero tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.zero_zero tptp.rat))))
% 22.01/22.26 (assume a4034 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) K_4) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)))))
% 22.01/22.26 (assume a4035 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) K_4))))
% 22.01/22.26 (assume a4036 (= (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.one_one tptp.rat)) (tptp.one_one tptp.real)))
% 22.01/22.26 (assume a4037 (= (tptp.one_one tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.one_one tptp.rat))))
% 22.01/22.26 (assume a4038 (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X_1)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y_1))) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) X_1) Y_1)))))
% 22.01/22.26 (assume a4039 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.plus_plus tptp.rat) X) Y)))))
% 22.01/22.26 (assume a4040 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.minus_minus tptp.rat) X) Y)))))
% 22.01/22.26 (assume a4041 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) X)))))
% 22.01/22.26 (assume a4042 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) X) Y)))))
% 22.01/22.26 (assume a4043 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal Y)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.times_times tptp.rat) X) Y)))))
% 22.01/22.26 (assume a4044 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal X)) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.rat tptp.rat (tptp.inverse_inverse tptp.rat) X)))))
% 22.01/22.26 (assume a4045 (= (tptp.zero_zero tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4046 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4047 (forall ((K_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4))))
% 22.01/22.26 (assume a4048 (forall ((K_4 $$unsorted) (L_4 $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) L_4)) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.inverse_divide tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) K_4)) (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) L_4)))))
% 22.01/22.26 (assume a4049 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_1) B)))))
% 22.01/22.26 (assume a4050 (forall ((P_5 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.rat tptp.frct P_5) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)))))
% 22.01/22.26 (assume a4051 (forall ((A_2 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int B_1) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int D_1) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C_1) D_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) D_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) D_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) B_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) D_1)))))))))
% 22.01/22.26 (assume a4052 (forall ((R_4 $$unsorted) (S_3 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) R_4))) (tptp.hAPP tptp.rat tptp.real tptp.ratreal (tptp.hAPP tptp.int tptp.rat (tptp.number_number_of tptp.rat) S_3))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) R_4)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) S_3)))))
% 22.01/22.26 (assume a4053 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.rat tptp.rat (tptp.sgn_sgn tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) B))))))
% 22.01/22.26 (assume a4054 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.zero_zero tptp.rat))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.zero_zero tptp.int)))))))
% 22.01/22.26 (assume a4055 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_2))))))
% 22.01/22.26 (assume a4056 (forall ((A_2 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted) (B_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int B_1) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int D_1) (tptp.zero_zero tptp.int))) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C_1) D_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) D_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) D_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) B_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1) D_1)))))))))
% 22.01/22.26 (assume a4057 (forall ((A_1 $$unsorted) (C $$unsorted) (D $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int D) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.plus_plus tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C) D)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) D)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) D)))))))
% 22.01/22.26 (assume a4058 (forall ((A_1 $$unsorted) (C $$unsorted) (D $$unsorted) (B $$unsorted)) (=> (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (=> (not (= (tptp.ti tptp.int D) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.minus_minus tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract C) D)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) D)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B) D)))))))
% 22.01/22.26 (assume a4059 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.one_one tptp.rat))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) B_1))))))
% 22.01/22.26 (assume a4060 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.one_one tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) A_2))))))
% 22.01/22.26 (assume a4061 (forall ((M $$unsorted) (N $$unsorted)) (=> (not (= (tptp.ti tptp.int N) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) N)) N) (tptp.hAPP tptp.rat tptp.rat (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.rat) (tptp.plus_plus tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract M) N)) (tptp.one_one tptp.rat))))))
% 22.01/22.26 (assume a4062 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.zero_zero tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) A_2))))))
% 22.01/22.26 (assume a4063 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.zero_zero tptp.rat))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_2) (tptp.zero_zero tptp.int)))))))
% 22.01/22.26 (assume a4064 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B))) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B)) (tptp.hAPP tptp.int tptp.rat (tptp.ring_1_of_int tptp.rat) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) B)) (tptp.one_one tptp.int))))))))
% 22.01/22.26 (assume a4065 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.one_one tptp.rat)) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) B_1) A_2))))))
% 22.01/22.26 (assume a4066 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)) (= (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less_eq tptp.rat) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_2) B_1)) (tptp.one_one tptp.rat))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) A_2) B_1))))))
% 22.01/22.26 (assume a4067 (forall ((Q_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_4)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool P_1 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_4) B_4))))) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool P_1 Q_2)))))
% 22.01/22.26 (assume a4068 (forall ((X_a $$unsorted) (R_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP X_a tptp.nat F X_1)) (tptp.hAPP X_a tptp.nat F Y_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) X_1) Y_1)) R_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) X_1) Y_1)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool)) (tptp.mlex_prod X_a) F) R_3)))))))
% 22.01/22.26 (assume a4069 (forall ((X_a $$unsorted) (R_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP X_a tptp.nat F X_1)) (tptp.hAPP X_a tptp.nat F Y_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_a) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_a)) (tptp.hAPP X_a (tptp.product_prod X_a X_a) (tptp.hAPP X_a (tptp.fun X_a (tptp.product_prod X_a X_a)) (tptp.product_Pair X_a X_a) X_1) Y_1)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun (tptp.product_prod X_a X_a) tptp.bool) (tptp.fun (tptp.product_prod X_a X_a) tptp.bool)) (tptp.mlex_prod X_a) F) R_3))))))
% 22.01/22.26 (assume a4070 (forall ((B_1 $$unsorted) (Q_2 $$unsorted) (R_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) Q_2) R_1)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.if (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) R_1) B_1))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Q_2)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) R_1) B_1))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) Q_2)) R_1)))))
% 22.01/22.26 (assume a4071 (forall ((X_a $$unsorted)) (=> (tptp.linordered_idom X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) A_2)) A_2)) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) (tptp.zero_zero X_a)))))))))
% 22.01/22.26 (assume a4072 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (or (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) Q_1)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) P_1)) Q_1)))))))
% 22.01/22.26 (assume a4073 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) K))))))
% 22.01/22.26 (assume a4074 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat)) K))))))
% 22.01/22.26 (assume a4075 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.collect (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.combc (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool))) A_3)))))))
% 22.01/22.26 (assume a4076 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Z $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z)) (tptp.ring_1_Ints X_a)))))))
% 22.01/22.26 (assume a4077 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.ring_1_Ints X_a)))))))
% 22.01/22.26 (assume a4078 (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.nat_tr1645093318rphism tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) (tptp.hAPP tptp.bool (tptp.fun tptp.nat tptp.bool) (tptp.combk tptp.bool tptp.nat) tptp.fTrue))))
% 22.01/22.26 (assume a4079 (forall ((P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) P_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat tptp.bool)) (tptp.combb tptp.int tptp.bool tptp.nat) P_1) (tptp.semiring_1_of_nat tptp.int)))))))
% 22.01/22.26 (assume a4080 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) N_1))))) (tptp.ti tptp.int N_1)))))
% 22.01/22.26 (assume a4081 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) N_1)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 N_1)))))
% 22.01/22.26 (assume a4082 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) N_1)))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 N_1)))))
% 22.01/22.26 (assume a4083 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_3)) (=> (not (= (tptp.hAPP X_a X_a G X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_2) (tptp.hAPP X_a X_a G X_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a F X_1)) E_3))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a G X_1)) (tptp.hAPP X_a X_a G X_1))))))))))))
% 22.01/22.26 (assume a4084 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) N_1)))))))
% 22.01/22.26 (assume a4085 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) N_1)))))))
% 22.01/22.26 (assume a4086 (forall ((K $$unsorted) (Xa_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.cos) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.plus_plus tptp.real)) K))) Xa_2) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Xa_2) K)))))))
% 22.01/22.26 (assume a4087 (forall ((X_2 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) X_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc X_2)))))
% 22.01/22.26 (assume a4088 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.plus_plus X_a)) F)) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.uminus_uminus X_a)) G))) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) D_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) E_3))))))))))
% 22.01/22.26 (assume a4089 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (Db $$unsorted) (F $$unsorted) (X_1 $$unsorted) (Da $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) Da)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) Db)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.times_times X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Da) (tptp.hAPP X_a X_a G X_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Db) (tptp.hAPP X_a X_a F X_1)))))))))))
% 22.01/22.26 (assume a4090 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.times_times X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a F X_1)) E_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_2) (tptp.hAPP X_a X_a G X_1)))))))))))
% 22.01/22.26 (assume a4091 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.sin)) tptp.sin)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))))
% 22.01/22.26 (assume a4092 (forall ((K $$unsorted) (Xa_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.sin) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.plus_plus tptp.real)) K))) Xa_2) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) Xa_2) K))))))
% 22.01/22.26 (assume a4093 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) (tptp.ring_1_Ints X_a)))))))))
% 22.01/22.26 (assume a4094 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) D_2) E_3)))))))))
% 22.01/22.26 (assume a4095 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.plus_plus X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) D_2) E_3)))))))))
% 22.01/22.26 (assume a4096 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) (tptp.ring_1_Ints X_a)))))))))
% 22.01/22.26 (assume a4097 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((K $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) X_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K)))))))))
% 22.01/22.26 (assume a4098 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) X_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)))))))
% 22.01/22.26 (assume a4099 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat)) X_1))))))
% 22.01/22.26 (assume a4100 (forall ((N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat)) N_1))) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))
% 22.01/22.26 (assume a4101 (forall ((X_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat)) X_1))) (tptp.hAPP tptp.nat tptp.nat tptp.suc X_1))))
% 22.01/22.26 (assume a4102 (forall ((W $$unsorted)) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 W)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)))))
% 22.01/22.26 (assume a4103 (forall ((P_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) P_1))))))
% 22.01/22.26 (assume a4104 (forall ((P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) P_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.nat tptp.bool tptp.int) P_1) tptp.nat_1)))))))
% 22.01/22.26 (assume a4105 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.bseq tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)))))))
% 22.01/22.26 (assume a4106 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) N_1)))))))
% 22.01/22.26 (assume a4107 (forall ((Z $$unsorted) (Z_3 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg Z_3)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_3)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg Z_3))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Z_3)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z) Z_3))) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Z) Z_3))))))))
% 22.01/22.26 (assume a4108 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) F)) C_1)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) D_2) C_1))))))))
% 22.01/22.26 (assume a4109 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.one_one X_a)) (tptp.ring_1_Ints X_a))))))
% 22.01/22.26 (assume a4110 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.zero_zero X_a)) (tptp.ring_1_Ints X_a))))))
% 22.01/22.26 (assume a4111 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.combi X_a)) X_1) (tptp.one_one X_a)))))))
% 22.01/22.26 (assume a4112 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((K $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.combk X_a X_a) K)) X_1) (tptp.zero_zero X_a)))))))
% 22.01/22.26 (assume a4113 (forall ((I $$unsorted)) (=> (not (= (tptp.ti tptp.int I) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.dvd_dvd tptp.int)) I)))))))
% 22.01/22.26 (assume a4114 (forall ((Ma $$unsorted)) (=> (not (= Ma (tptp.zero_zero tptp.nat))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat)) Ma)))))))
% 22.01/22.26 (assume a4115 (forall ((X_a $$unsorted)) (=> (tptp.number_ring X_a) (forall ((W_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.int X_a (tptp.number_number_of X_a) W_1)) (tptp.ring_1_Ints X_a)))))))
% 22.01/22.26 (assume a4116 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted) (F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) (tptp.hAPP (tptp.fun X_c tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.fun X_c tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_c X_b) G) A_3)) (tptp.hAPP (tptp.fun X_c tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_c X_a) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun X_c X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_c X_b) (tptp.fun X_c X_a)) (tptp.combb X_b X_a X_c) F) G)) A_3))))
% 22.01/22.26 (assume a4117 (forall ((X_a $$unsorted) (Y_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) (tptp.combi X_a)) Y_3) (tptp.ti (tptp.fun X_a tptp.bool) Y_3))))
% 22.01/22.26 (assume a4118 (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) tptp.prime)))))
% 22.01/22.26 (assume a4119 (forall ((X_a $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fdisj) P_1)) Q_1)))) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) Q_1)))))))
% 22.01/22.26 (assume a4120 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.cauchy tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.cauchy tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex)) (tptp.combb tptp.complex tptp.complex tptp.nat) tptp.cnj) X_3))))))
% 22.01/22.26 (assume a4121 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.cauchy tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.cauchy tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.im) X_3))))))
% 22.01/22.26 (assume a4122 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.cauchy tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.cauchy tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.re) X_3))))))
% 22.01/22.26 (assume a4123 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((N_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) N_1)) (tptp.ring_1_Ints X_a))))))))
% 22.01/22.26 (assume a4124 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.ring_1_Ints tptp.real)))))
% 22.01/22.26 (assume a4125 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) X_1)) (tptp.ring_1_Ints tptp.real)))))
% 22.01/22.26 (assume a4126 (forall ((G $$unsorted) (X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) G) X_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.cos) G)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real G X_1)))) Ma))))))
% 22.01/22.26 (assume a4127 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) X_3)))))))
% 22.01/22.26 (assume a4128 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.uminus_uminus X_a)) F)) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) D_2))))))))
% 22.01/22.26 (assume a4129 (forall ((X_a $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combb tptp.bool tptp.bool X_a) tptp.fNot) P_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1)))))
% 22.01/22.26 (assume a4130 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) (tptp.ring_1_Ints X_a))))))))
% 22.01/22.26 (assume a4131 (forall ((G $$unsorted) (X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) G) X_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.sin) G)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real G X_1))) Ma))))))
% 22.01/22.26 (assume a4132 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.ring_1_Ints X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) (tptp.ring_1_Ints X_a)))))))))
% 22.01/22.26 (assume a4133 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Db $$unsorted) (F $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Da $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) (tptp.hAPP X_a X_a G X_1)) Da)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) Db)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) F) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Da) Db)))))))))
% 22.01/22.26 (assume a4134 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_3 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) (tptp.hAPP X_a X_a F X_1)) E_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) G) F)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) E_3) D_2)))))))))
% 22.01/22.26 (assume a4135 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1)) F)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) D_2))))))))
% 22.01/22.26 (assume a4136 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((G $$unsorted) (X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) Ma)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.exp X_a)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.exp X_a) (tptp.hAPP X_a X_a G X_1))) Ma))))))))
% 22.01/22.26 (assume a4137 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) X_1))))))
% 22.01/22.26 (assume a4138 (forall ((N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) N_1))) N_1)))
% 22.01/22.26 (assume a4139 (forall ((X_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) X_1))) X_1)))
% 22.01/22.26 (assume a4140 (forall ((X_a $$unsorted) (A_3 $$unsorted) (F $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image tptp.nat X_a) F) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) N_1)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)))))
% 22.01/22.26 (assume a4141 (forall ((P_1 $$unsorted) (I $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) P_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) I)))))))
% 22.01/22.26 (assume a4142 (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))
% 22.01/22.26 (assume a4143 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((Z_1 $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))))
% 22.01/22.26 (assume a4144 (forall ((X_b $$unsorted)) (=> (and (tptp.monoid_mult X_b) (tptp.number X_b)) (forall ((V $$unsorted) (W $$unsorted)) (= (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 W))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))))
% 22.01/22.26 (assume a4145 (forall ((I $$unsorted) (M_1 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) (tptp.zero_zero tptp.nat)) M_1))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool))) (tptp.combb tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) tptp.nat) (tptp.member tptp.nat)) tptp.suc)) M_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) I)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat)) M_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)))))))))
% 22.01/22.26 (assume a4146 (forall ((I $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) (tptp.zero_zero tptp.nat)) M_1)) (not (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat)) M_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc I))))) (tptp.zero_zero tptp.nat))))))
% 22.01/22.26 (assume a4147 (forall ((I $$unsorted) (M_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) (tptp.zero_zero tptp.nat)) M_1)) (= (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool))) (tptp.combb tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) tptp.nat) (tptp.member tptp.nat)) tptp.suc)) M_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) I))))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combs tptp.nat tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat)) M_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)))))))))
% 22.01/22.26 (assume a4148 (forall ((N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) N_1)))))))
% 22.01/22.26 (assume a4149 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (=> (not (= (tptp.hAPP X_a X_a F X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.inverse_inverse X_a)) F)) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a F X_1))) D_2)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a F X_1))))))))))))
% 22.01/22.26 (assume a4150 (forall ((Ma $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.noXRRset Ma) X_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.times_times tptp.int)) X_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))
% 22.01/22.26 (assume a4151 (forall ((N_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) G) X_1) Ma)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) G)) N_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real G X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.one_one tptp.nat))))) Ma))))))
% 22.01/22.26 (assume a4152 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) N_1)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 N_1)) (tptp.one_one tptp.nat))))))
% 22.01/22.26 (assume a4153 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) N_1))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) N_1) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a4154 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) N_1)))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 N_1)) (tptp.one_one tptp.nat))))))
% 22.01/22.26 (assume a4155 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.cos)) tptp.cos)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)))))))
% 22.01/22.26 (assume a4156 (forall ((N_1 $$unsorted) (V_1 $$unsorted)) (= (= (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))) N_1))))))
% 22.01/22.26 (assume a4157 (forall ((V_1 $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (= (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))) N_1))))))
% 22.01/22.26 (assume a4158 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (= (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) A_2) (tptp.zero_zero X_a)) (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.26 (assume a4159 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((N_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.combc X_a tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combb X_a (tptp.fun tptp.nat X_a) X_a) (tptp.power_power X_a)) F)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_2) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a F X_1)) N_1))))))))))
% 22.01/22.26 (assume a4160 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_1 $$unsorted)) (=> (not (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.inverse_inverse X_a)) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))))))
% 22.01/22.26 (assume a4161 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((N_1 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.combc X_a tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combb X_a (tptp.fun tptp.nat X_a) X_a) (tptp.power_power X_a)) F)) N_1)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_2) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a F X_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))))))
% 22.01/22.26 (assume a4162 (forall ((W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W)) (tptp.zero_zero tptp.nat))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))))))
% 22.01/22.26 (assume a4163 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.power_power tptp.real)) N_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.26 (assume a4164 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.cos)) tptp.cos)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 tptp.min_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))))))
% 22.01/22.26 (assume a4165 (forall ((V_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1))))))
% 22.01/22.26 (assume a4166 (forall ((N_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))))))))
% 22.01/22.26 (assume a4167 (forall ((N_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))))))))
% 22.01/22.26 (assume a4168 (forall ((V_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1))))))
% 22.01/22.26 (assume a4169 (forall ((X_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.standardRes Ma)) X_3)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) Ma))))))))
% 22.01/22.26 (assume a4170 (forall ((X_a $$unsorted)) (=> (tptp.monoid_mult X_a) (forall ((Z_1 $$unsorted) (W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Z_1) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.one_one X_a))))))))
% 22.01/22.26 (assume a4171 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (E_2 $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) G) X_1) E_2)) (=> (not (= (tptp.hAPP X_a X_a G X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) F)) G)) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_1) (tptp.hAPP X_a X_a G X_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) E_2) (tptp.hAPP X_a X_a F X_1)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a G X_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))))))))
% 22.01/22.26 (assume a4172 (forall ((X_1 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) A_3) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.rsetR Ma))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Ma)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd X_1) Ma) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.times_times tptp.int)) X_1)) A_3)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.rsetR Ma))))))))
% 22.01/22.26 (assume a4173 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_1)) (=> (not (= (tptp.hAPP X_a X_a F X_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) (tptp.inverse_inverse X_a)) F)) X_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) D_1) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a F X_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))))))))))))
% 22.01/22.26 (assume a4174 (forall ((Z_1 $$unsorted) (W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Z_1) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) Z_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a4175 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.sin)) tptp.sin)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))))))
% 22.01/22.26 (assume a4176 (forall ((B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) tptp.log B_1)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.ln B_1)) X_1)))))))
% 22.01/22.26 (assume a4177 (forall ((X_b $$unsorted)) (=> (and (tptp.monoid_mult X_b) (tptp.number X_b)) (forall ((V $$unsorted) (W $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W))) (= (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W)))) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) W))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) W)))) (= (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit1 W))) (tptp.one_one X_b))))))))
% 22.01/22.26 (assume a4178 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.cos)) tptp.cos)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))))
% 22.01/22.26 (assume a4179 (forall ((X_a $$unsorted)) (=> (tptp.ring_char_0 X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) (tptp.ring_1_Ints X_a))) (not (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) A_2)) A_2) (tptp.zero_zero X_a))))))))
% 22.01/22.26 (assume a4180 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.sin)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.cos)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2) (tptp.zero_zero tptp.real)))))
% 22.01/22.26 (assume a4181 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.sin)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))))))
% 22.01/22.26 (assume a4182 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.sin)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))))
% 22.01/22.26 (assume a4183 (forall ((V_1 $$unsorted) (V_2 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_2) tptp.pls)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_2)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) V_2) tptp.pls))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) V_2))))) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) V_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) V_2))))))))))
% 22.01/22.26 (assume a4184 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.cos)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 tptp.min_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))))))
% 22.01/22.26 (assume a4185 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.cos)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))))
% 22.01/22.26 (assume a4186 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.cos)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)))))))
% 22.01/22.26 (assume a4187 (forall ((X_1 $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real)) tptp.sin)) tptp.cos)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.26 (assume a4188 (forall ((Y_1 $$unsorted) (X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.minus_minus tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.sin) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.plus_plus tptp.real)) Y_1)))) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.sin)) (tptp.hAPP tptp.real tptp.real tptp.cos Y_1)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.cos)) (tptp.hAPP tptp.real tptp.real tptp.sin Y_1)))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.minus_minus tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.cos) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.plus_plus tptp.real)) Y_1)))) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.minus_minus tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.cos)) (tptp.hAPP tptp.real tptp.real tptp.cos Y_1)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.times_times tptp.real)) tptp.sin)) (tptp.hAPP tptp.real tptp.real tptp.sin Y_1)))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2) (tptp.zero_zero tptp.real)))))
% 22.01/22.26 (assume a4189 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.sin)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) tptp.cos)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_2))) (tptp.hAPP tptp.real tptp.real tptp.sin X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real tptp.real tptp.cos X_2))) (tptp.hAPP tptp.real tptp.real tptp.sin X_2)))))))
% 22.01/22.26 (assume a4190 (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.plus_plus tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.sin) (tptp.uminus_uminus tptp.real)))) tptp.sin))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.power_power tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.minus_minus tptp.real)) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combb tptp.real tptp.real tptp.real) tptp.cos) (tptp.uminus_uminus tptp.real)))) tptp.cos))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) X_2) (tptp.zero_zero tptp.real)))))
% 22.01/22.26 (assume a4191 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.accp (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac_rel) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) A_2) B_1))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_2)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B_1)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1) (tptp.zero_zero tptp.int)))) (and (=> (or (= (tptp.ti tptp.int A_2) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int B_1) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))) (=> (not (or (= (tptp.ti tptp.int A_2) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int B_1) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_2) B_1) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_gcd A_2) B_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_gcd A_2) B_1)))))))))))
% 22.01/22.26 (assume a4192 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))))))
% 22.01/22.26 (assume a4193 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) A_2))))))))
% 22.01/22.26 (assume a4194 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)) (or (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP tptp.nat X_a X_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat X_a X_3 N_2))))))))))
% 22.01/22.26 (assume a4195 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)) (or (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2))))) (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP tptp.nat X_a X_3 M_2)))))))))))
% 22.01/22.26 (assume a4196 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)))))))
% 22.01/22.26 (assume a4197 (forall ((A_1 $$unsorted) (B $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) A_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) B)))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B) (tptp.zero_zero tptp.int)))) (and (=> (or (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))) (=> (not (or (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_1) B) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_gcd A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.int_gcd A_1) B))))))))))
% 22.01/22.26 (assume a4198 (forall ((Z $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.arg Z) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.hilbert_Eps tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool)) (tptp.combb tptp.real tptp.bool tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.fequal tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) Z)))) tptp.cos))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool)) (tptp.combb tptp.real tptp.bool tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.fequal tptp.real) (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) Z)))) tptp.sin))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) tptp.pi)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) tptp.pi))))))))
% 22.01/22.26 (assume a4199 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_4) A_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.complete_Sup_Sup (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_2) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) P_4))))))))
% 22.01/22.26 (assume a4200 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.comm_monoid_mult X_a) (tptp.semiring_1 X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun (tptp.fun X_b tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_b tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun X_b tptp.nat) (tptp.fun X_b X_a)) (tptp.combb tptp.nat X_a X_b) (tptp.semiring_1_of_nat X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4201 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.comm_monoid_mult X_a) (tptp.ring_1 X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_b tptp.int) (tptp.fun (tptp.fun X_b tptp.bool) tptp.int) (tptp.big_co302546470etprod X_b tptp.int) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) (tptp.hAPP (tptp.fun X_b tptp.int) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun X_b tptp.int) (tptp.fun X_b X_a)) (tptp.combb tptp.int X_a X_b) (tptp.ring_1_of_int X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4202 (forall ((A_2 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.d22set A_2)) (tptp.hAPP tptp.int tptp.int tptp.zfact A_2))))
% 22.01/22.26 (assume a4203 (forall ((A_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) Ma)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.legacy_zgcd (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))) Ma) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4204 (forall ((A_2 $$unsorted) (Ma $$unsorted) (X_1 $$unsorted)) (=> (not (= (tptp.ti tptp.int X_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) Ma)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.times_times tptp.int)) X_1)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.bnorRset A_2) Ma)))))))))
% 22.01/22.26 (assume a4205 (forall ((X_1 $$unsorted) (A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.quadRes P_4) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) X_1) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) X_1)) A_2) P_4)))))))))
% 22.01/22.26 (assume a4206 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.wset A_2) P_4))) (tptp.one_one tptp.int)) P_4)))))))
% 22.01/22.26 (assume a4207 (forall ((A_2 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.zprime P_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) P_4)) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.zero_zero tptp.int)) P_4))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.complete_Sup_Sup (tptp.fun tptp.int tptp.bool)) (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) tptp.setS A_2) P_4))) (tptp.hAPP tptp.int tptp.int tptp.zfact (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) P_4) (tptp.one_one tptp.int)))))))))
% 22.01/22.26 (assume a4208 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) C_1)) S) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP X_a X_b B_1 A_2)) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) C_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) S)) (tptp.one_one tptp.nat)))))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) C_1)) S) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) S))))))))))
% 22.01/22.26 (assume a4209 (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int F X_2))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) F) A_3)))))))
% 22.01/22.26 (assume a4210 (forall ((X_a $$unsorted) (F $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) F_1)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) F_1) (tptp.one_one tptp.nat)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) F_1)) (= (tptp.hAPP X_a tptp.nat F X_2) (tptp.one_one tptp.nat))))))))
% 22.01/22.26 (assume a4211 (forall ((X_a $$unsorted) (F $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) S))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP X_a tptp.nat F X_2)))))))))
% 22.01/22.26 (assume a4212 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co302546470etprod X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.real)) (tptp.combb tptp.int tptp.real X_a) (tptp.real_1 tptp.int)) F)) A_3))))
% 22.01/22.26 (assume a4213 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co302546470etprod X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.real)) (tptp.combb tptp.nat tptp.real X_a) (tptp.real_1 tptp.nat)) F)) A_3))))
% 22.01/22.26 (assume a4214 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int)) (tptp.combb tptp.nat tptp.int X_a) (tptp.semiring_1_of_nat tptp.int)) F)) A_3))))
% 22.01/22.26 (assume a4215 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) A_3) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int)) (tptp.combb tptp.nat tptp.int X_a) (tptp.semiring_1_of_nat tptp.int)) F)) A_3)))))
% 22.01/22.26 (assume a4216 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co302546470etprod tptp.nat X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co302546470etprod tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int X_a)) (tptp.combb tptp.nat X_a tptp.int) F) tptp.nat_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)))))))
% 22.01/22.26 (assume a4217 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co302546470etprod tptp.int X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co302546470etprod tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.int X_a tptp.nat) F) (tptp.semiring_1_of_nat tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3))))))))
% 22.01/22.26 (assume a4218 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combs X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.times_times X_a)) F)) G)) A_3) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) G) A_3)))))))
% 22.01/22.26 (assume a4219 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) (tptp.one_one X_a))) A_3) (tptp.one_one X_a))))))
% 22.01/22.26 (assume a4220 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.linordered_field X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.abs_abs X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4221 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_semiring_1 X_b) (tptp.no_zero_divisors X_b)) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3) (tptp.zero_zero X_b)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b))))))))))
% 22.01/22.26 (assume a4222 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_semiring_1 X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3) (tptp.zero_zero X_b))))))))
% 22.01/22.26 (assume a4223 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3) (tptp.one_one X_b)))))))
% 22.01/22.26 (assume a4224 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((G $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3) (tptp.one_one X_b)))))))
% 22.01/22.26 (assume a4225 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_semiring_1 X_b) (forall ((F $$unsorted) (I $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP X_a X_b F I)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)))))))))
% 22.01/22.26 (assume a4226 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((G $$unsorted) (H $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) G)) H)) A_3) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) H) A_3))))))))
% 22.01/22.26 (assume a4227 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) A_2))) B_1)) (tptp.one_one X_b))) S) (tptp.hAPP X_a X_b B_1 A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) A_2))) B_1)) (tptp.one_one X_b))) S) (tptp.one_one X_b)))))))))
% 22.01/22.26 (assume a4228 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) (tptp.one_one X_b))) S) (tptp.hAPP X_a X_b B_1 A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) (tptp.one_one X_b))) S) (tptp.one_one X_b)))))))))
% 22.01/22.26 (assume a4229 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.field_inverse_zero X_b) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.inverse_divide X_b)) F)) G)) A_3) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.inverse_divide X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3))))))))
% 22.01/22.26 (assume a4230 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_mult X_b) (tptp.dvd X_b)) (forall ((F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) B_2)))))))))
% 22.01/22.26 (assume a4231 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((Y_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.combk X_b X_a) Y_1)) A_3) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) Y_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))))))))
% 22.01/22.26 (assume a4232 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((F $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b F X_2) (tptp.one_one X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) S) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) T_3)))))))))
% 22.01/22.26 (assume a4233 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((F $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b F X_2) (tptp.one_one X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) T_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) S)))))))))
% 22.01/22.26 (assume a4234 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= A_3 B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set B_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (= (tptp.hAPP tptp.int X_a F X_2) (tptp.hAPP tptp.int X_a G X_2)))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co302546470etprod tptp.int X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co302546470etprod tptp.int X_a) G) B_2)))))))))
% 22.01/22.26 (assume a4235 (forall ((X_a $$unsorted) (F $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP X_a tptp.nat F X_2))))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) S)))))))
% 22.01/22.26 (assume a4236 (forall ((X_a $$unsorted) (X_b $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_1) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_b X_a) F) A_3))) (not (forall ((X_2 $$unsorted)) (=> (= (tptp.ti X_a B_1) (tptp.hAPP X_b X_a F X_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) A_3)))))))))
% 22.01/22.26 (assume a4237 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_semiring_1 X_b) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) B_2))))))))))
% 22.01/22.26 (assume a4238 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) (tptp.one_one tptp.real))) (= (tptp.hAPP tptp.real tptp.real tptp.arctan X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))))))))
% 22.01/22.26 (assume a4239 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.real) tptp.real tptp.real) (tptp.suminf tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combc tptp.real (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) tptp.real) (tptp.combb tptp.nat tptp.real tptp.nat)) (tptp.power_power tptp.real))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))))) X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))
% 22.01/22.26 (assume a4240 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.combk X_a tptp.nat) (tptp.zero_zero X_a))) (tptp.zero_zero X_a)))))
% 22.01/22.26 (assume a4241 (forall ((X_2 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin X_2) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.sin_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_2))))))
% 22.01/22.26 (assume a4242 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.sin_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))))))
% 22.01/22.26 (assume a4243 (forall ((X_2 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos X_2) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.cos_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_2))))))
% 22.01/22.26 (assume a4244 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.cos_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))))))
% 22.01/22.26 (assume a4245 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((F $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.zero_zero X_a)))) (tptp.hAPP tptp.nat X_a F (tptp.zero_zero tptp.nat)))))))
% 22.01/22.26 (assume a4246 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.uminus_uminus tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.sin_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)))))))
% 22.01/22.26 (assume a4247 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real)) X_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))))
% 22.01/22.26 (assume a4248 (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.one_one tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))))
% 22.01/22.26 (assume a4249 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= (tptp.hAPP tptp.real tptp.real tptp.ln X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.one_one tptp.nat))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) (tptp.one_one tptp.real)))) tptp.suc))))))))
% 22.01/22.26 (assume a4250 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((K $$unsorted)) (and (=> (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K) (tptp.zero_zero X_a))) (=> (not (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) K))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) K) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) X_a (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int X_a)) (tptp.fun (tptp.product_prod tptp.int tptp.int) X_a) (tptp.product_prod_case tptp.int tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun tptp.int X_a)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun X_a (tptp.fun tptp.int X_a))) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun tptp.int X_a))) (tptp.combs tptp.int X_a (tptp.fun tptp.int X_a)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.fun tptp.int (tptp.fun X_a (tptp.fun tptp.int X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.int X_a))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.fun tptp.int (tptp.fun X_a (tptp.fun tptp.int X_a)))) (tptp.combb (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.int X_a)) tptp.int) (tptp.combc tptp.int X_a X_a)) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun X_a X_a)))) (tptp.combb X_a (tptp.fun tptp.int (tptp.fun X_a X_a)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.combc tptp.int X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun X_a (tptp.fun X_a X_a)))) (tptp.combb tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) tptp.int) (tptp.if X_a)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.fequal tptp.int)) (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int X_a)) (tptp.combs tptp.int X_a X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.int) (tptp.plus_plus X_a)) (tptp.ring_1_of_int X_a))) (tptp.ring_1_of_int X_a))))) (tptp.hAPP X_a (tptp.fun tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.int X_a)) (tptp.combc tptp.int X_a X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.int) (tptp.plus_plus X_a)) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int X_a)) (tptp.combs tptp.int X_a X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.int X_a) (tptp.fun tptp.int (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.int) (tptp.plus_plus X_a)) (tptp.ring_1_of_int X_a))) (tptp.ring_1_of_int X_a)))) (tptp.one_one X_a)))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))))))
% 22.01/22.26 (assume a4251 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))))))))
% 22.01/22.26 (assume a4252 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.combk X_a tptp.nat) (tptp.zero_zero X_a)))))))
% 22.01/22.26 (assume a4253 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1)) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_c tptp.bool) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.fun X_c tptp.bool) tptp.bool) (tptp.member X_c) (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) F A_2) B_1)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_c tptp.bool)) (tptp.image (tptp.product_prod X_a X_b) X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) F)) A_3))))))
% 22.01/22.26 (assume a4254 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) Y_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) Y_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) X_3)) Y_3)))))))))
% 22.01/22.26 (assume a4255 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) Y_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) Y_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) X_3)) Y_3)))))))))
% 22.01/22.26 (assume a4256 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) F)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F)) C_1)))))))
% 22.01/22.26 (assume a4257 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) Y_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4258 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3))))))))
% 22.01/22.26 (assume a4259 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) Y_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4260 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) X_3))))))))
% 22.01/22.26 (assume a4261 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F)) C_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) C_1))))))))
% 22.01/22.26 (assume a4262 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1)) F)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F))))))))
% 22.01/22.26 (assume a4263 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) F) P_4) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) F (tptp.hAPP (tptp.product_prod X_b X_c) X_b (tptp.product_fst X_b X_c) P_4)) (tptp.hAPP (tptp.product_prod X_b X_c) X_c (tptp.product_snd X_b X_c) P_4)))))
% 22.01/22.26 (assume a4264 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) F1) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) A_2) B_1)) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) F1 A_2) B_1))))
% 22.01/22.26 (assume a4265 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) F) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) A_2) B_1)) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) F A_2) B_1))))
% 22.01/22.26 (assume a4266 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted) (G $$unsorted)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F N_2))) (tptp.hAPP tptp.nat tptp.real G N_2)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) G)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F))))))))
% 22.01/22.26 (assume a4267 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted) (Q_2 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.ti (tptp.product_prod X_a X_b) Q_2)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_c (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) C_1) P_4) (tptp.hAPP (tptp.product_prod X_a X_b) X_c (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) C_1) Q_2)))))
% 22.01/22.26 (assume a4268 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((Z $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Z)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z)))))))))))
% 22.01/22.26 (assume a4269 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1)) F))))))))
% 22.01/22.26 (assume a4270 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) C_1))))))))
% 22.01/22.26 (assume a4271 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) X_3))))))))
% 22.01/22.26 (assume a4272 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4273 (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)))))
% 22.01/22.26 (assume a4274 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3))))))))
% 22.01/22.26 (assume a4275 (forall ((X_b $$unsorted) (X_a $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) P_4) (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun (tptp.product_prod X_b X_a) X_a) (tptp.product_prod_case X_b X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.combk (tptp.fun X_a X_a) X_b) (tptp.combi X_a))) P_4))))
% 22.01/22.26 (assume a4276 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) P_4) (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.product_prod_case X_a X_b X_a) (tptp.combk X_a X_b)) P_4))))
% 22.01/22.26 (assume a4277 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (X_d $$unsorted) (X_e $$unsorted) (F $$unsorted) (G $$unsorted) (P_4 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) F) (tptp.hAPP (tptp.product_prod X_d X_e) (tptp.product_prod X_b X_c) (tptp.hAPP (tptp.fun X_d (tptp.fun X_e (tptp.product_prod X_b X_c))) (tptp.fun (tptp.product_prod X_d X_e) (tptp.product_prod X_b X_c)) (tptp.product_prod_case X_d X_e (tptp.product_prod X_b X_c)) G) P_4)) (tptp.hAPP (tptp.product_prod X_d X_e) X_a (tptp.hAPP (tptp.fun X_d (tptp.fun X_e X_a)) (tptp.fun (tptp.product_prod X_d X_e) X_a) (tptp.product_prod_case X_d X_e X_a) (tptp.hAPP (tptp.fun X_d (tptp.fun X_e (tptp.product_prod X_b X_c))) (tptp.fun X_d (tptp.fun X_e X_a)) (tptp.hAPP (tptp.fun (tptp.fun X_e (tptp.product_prod X_b X_c)) (tptp.fun X_e X_a)) (tptp.fun (tptp.fun X_d (tptp.fun X_e (tptp.product_prod X_b X_c))) (tptp.fun X_d (tptp.fun X_e X_a))) (tptp.combb (tptp.fun X_e (tptp.product_prod X_b X_c)) (tptp.fun X_e X_a) X_d) (tptp.hAPP (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.fun (tptp.fun X_e (tptp.product_prod X_b X_c)) (tptp.fun X_e X_a)) (tptp.combb (tptp.product_prod X_b X_c) X_a X_e) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) F))) G)) P_4))))
% 22.01/22.26 (assume a4278 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) X_3))))))))
% 22.01/22.26 (assume a4279 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) F))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)))))))
% 22.01/22.26 (assume a4280 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4281 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) F)) C_1))))))))
% 22.01/22.26 (assume a4282 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((K $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K)))))))))
% 22.01/22.26 (assume a4283 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) Y_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) X_3)) Y_3)))))))))
% 22.01/22.26 (assume a4284 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) Y_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) X_3)) Y_3)))))))))
% 22.01/22.26 (assume a4285 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (F $$unsorted)) (= (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b X_c)) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b X_c))) (tptp.combb (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b X_c) X_a) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b X_c)) (tptp.combb (tptp.product_prod X_a X_b) X_c X_b) F)) (tptp.product_Pair X_a X_b))) (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) X_c) F))))
% 22.01/22.26 (assume a4286 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_c (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) X_2) Xa) (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) X_2 (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) Xa)) (tptp.hAPP (tptp.product_prod X_a X_b) X_b (tptp.product_snd X_a X_b) Xa)))))
% 22.01/22.26 (assume a4287 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (X_d $$unsorted) (F $$unsorted) (G $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b X_c)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) X_c)) (tptp.combs (tptp.product_prod X_a X_b) X_b X_c) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_d) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b X_c)) (tptp.hAPP (tptp.fun X_d (tptp.fun X_b X_c)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_d) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b X_c))) (tptp.combb X_d (tptp.fun X_b X_c) (tptp.product_prod X_a X_b)) F) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) X_d) (tptp.hAPP (tptp.fun X_a X_d) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) X_d)) (tptp.combb X_a X_d (tptp.product_prod X_a X_b)) G) (tptp.product_fst X_a X_b)))) (tptp.product_snd X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) (tptp.hAPP (tptp.fun X_a X_d) (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.hAPP (tptp.fun X_d (tptp.fun X_b X_c)) (tptp.fun (tptp.fun X_a X_d) (tptp.fun X_a (tptp.fun X_b X_c))) (tptp.combb X_d (tptp.fun X_b X_c) X_a) F) G)))))
% 22.01/22.26 (assume a4288 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (P_1 $$unsorted) (Z $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) P_1) Z) (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) P_1 (tptp.hAPP (tptp.product_prod X_b X_c) X_b (tptp.product_fst X_b X_c) Z)) (tptp.hAPP (tptp.product_prod X_b X_c) X_c (tptp.product_snd X_b X_c) Z)))))
% 22.01/22.26 (assume a4289 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted) (G $$unsorted)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F N_2))) (tptp.hAPP tptp.nat tptp.real G N_2)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) G)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) F)))))))))
% 22.01/22.26 (assume a4290 (forall ((F $$unsorted) (G $$unsorted)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2))) (tptp.hAPP tptp.nat tptp.real G N_2)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) G)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F)))))))
% 22.01/22.26 (assume a4291 (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F)))))))
% 22.01/22.26 (assume a4292 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) X_3)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) X_3))))))))
% 22.01/22.26 (assume a4293 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.sin_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))))))
% 22.01/22.26 (assume a4294 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.cos_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))))))
% 22.01/22.26 (assume a4295 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) F))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) F)))))))))
% 22.01/22.26 (assume a4296 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((Z $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) Z)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z))))))))))
% 22.01/22.26 (assume a4297 (forall ((X_a $$unsorted)) (=> (and (tptp.real_n2089651433ebra_1 X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))))))
% 22.01/22.26 (assume a4298 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))))))
% 22.01/22.26 (assume a4299 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.int (tptp.archim2085082626_floor tptp.rat) P_4) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.div_div tptp.int)) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of P_4)))))
% 22.01/22.26 (assume a4300 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.rat tptp.rat (tptp.uminus_uminus tptp.rat) P_4)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.uminus_uminus tptp.int))) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of P_4)))))
% 22.01/22.26 (assume a4301 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))))))
% 22.01/22.26 (assume a4302 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) P_4)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.abs_abs tptp.int))) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of P_4)))))
% 22.01/22.26 (assume a4303 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) tptp.divmod_int_rel A_2) B_1) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combs tptp.int tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.int tptp.bool tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) A_2))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_1)))))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fimplies (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less tptp.int)) B_1))))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fimplies (tptp.hAPP tptp.bool tptp.bool tptp.fNot (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_1)))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) B_1))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.ord_less_eq tptp.int)) (tptp.zero_zero tptp.int))))))))))
% 22.01/22.26 (assume a4304 (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.26 (assume a4305 (forall ((P_4 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of (tptp.hAPP tptp.rat tptp.rat (tptp.inverse_inverse tptp.rat) P_4)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combb (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.if (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.fequal tptp.int)) (tptp.zero_zero tptp.int)))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combc tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.times_times tptp.int)) (tptp.sgn_sgn tptp.int))))) (tptp.abs_abs tptp.int)))) (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of P_4)))))
% 22.01/22.26 (assume a4306 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.26 (assume a4307 (forall ((B_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.adjust B_1) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combs tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.if (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.int tptp.bool tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.minus_minus tptp.int)) B_1))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combb tptp.int (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.minus_minus tptp.int)) B_1))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))))
% 22.01/22.26 (assume a4308 (forall ((X0 $$unsorted) (F $$unsorted) (R_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) R_3)) R_3))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc)))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_2)))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X0) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) R_3)) R_3))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_3)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.real) tptp.real tptp.real) (tptp.suminf tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) F))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real))) (tptp.combc tptp.real (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) tptp.real) (tptp.combb tptp.nat tptp.real tptp.nat)) (tptp.power_power tptp.real))) tptp.suc)))) X0) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc)))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X0))))))))))
% 22.01/22.26 (assume a4309 (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a4310 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (Z $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP X_c (tptp.fun X_a tptp.bool) (tptp.hAPP X_b (tptp.fun X_c (tptp.fun X_a tptp.bool)) C_1 A_2) B_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP (tptp.product_prod X_b X_c) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.product_prod X_b X_c) (tptp.fun X_a tptp.bool)) (tptp.product_prod_case X_b X_c (tptp.fun X_a tptp.bool)) C_1) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) A_2) B_1)))))))
% 22.01/22.26 (assume a4311 (forall ((X_b $$unsorted) (X_a $$unsorted) (F1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) F1 A_2) B_1)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) F1) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1))))))
% 22.01/22.26 (assume a4312 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) F A_2) B_1)) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) F) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1))))))
% 22.01/22.26 (assume a4313 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.complex (tptp.suminf tptp.complex) X_3)) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.complex (tptp.suminf tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex)) (tptp.combb tptp.complex tptp.complex tptp.nat) tptp.cnj) X_3))))))
% 22.01/22.26 (assume a4314 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (R_3 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_c tptp.bool))) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool)) (tptp.product_prod_case X_a X_b (tptp.fun X_c tptp.bool)) R_3) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1)) C_1)) (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP X_b (tptp.fun X_c tptp.bool) (tptp.hAPP X_a (tptp.fun X_b (tptp.fun X_c tptp.bool)) R_3 A_2) B_1) C_1)))))
% 22.01/22.26 (assume a4315 (forall ((X_a $$unsorted) (X_b $$unsorted) (F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) F) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_2) B_1))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) F A_2) B_1)))))
% 22.01/22.26 (assume a4316 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combb tptp.bool tptp.bool X_b) (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P_1))) Q_1)) X_2)) (and (tptp.hBOOL P_1) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) Q_1) X_2))))))
% 22.01/22.26 (assume a4317 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex)) (tptp.combb tptp.complex tptp.complex tptp.nat) tptp.cnj) X_3))))))
% 22.01/22.26 (assume a4318 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.re) X_3))))))
% 22.01/22.26 (assume a4319 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.im) X_3))))))
% 22.01/22.26 (assume a4320 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.complex (tptp.suminf tptp.complex) X_3)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.re) X_3))))))
% 22.01/22.26 (assume a4321 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.bool (tptp.summable tptp.complex) X_3)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP (tptp.fun tptp.nat tptp.complex) tptp.complex (tptp.suminf tptp.complex) X_3)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.im) X_3))))))
% 22.01/22.26 (assume a4322 (forall ((X_a $$unsorted)) (= (tptp.finite_psubset X_a) (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) tptp.bool) (tptp.product_prod_case (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.combc (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)))) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.combs (tptp.fun X_a tptp.bool) tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.fun X_a tptp.bool)) tptp.fconj)) (tptp.ord_less (tptp.fun X_a tptp.bool))))) (tptp.finite_finite_1 X_a)))))))
% 22.01/22.26 (assume a4323 (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))))
% 22.01/22.26 (assume a4324 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (and (=> (or (= N_1 (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1))) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat Ma) N_1) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_Pair tptp.nat tptp.nat) (tptp.zero_zero tptp.nat)) Ma))) (=> (not (or (= N_1 (tptp.zero_zero tptp.nat)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)))) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat Ma) N_1) (tptp.hAPP (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat))) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) (tptp.product_prod tptp.nat tptp.nat)) (tptp.product_prod_case tptp.nat tptp.nat (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)))) (tptp.combb tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.nat) (tptp.product_Pair tptp.nat tptp.nat)) tptp.suc)) (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) N_1)) N_1)))))))
% 22.01/22.26 (assume a4325 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)) (tptp.product_prod_case tptp.real tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.combs tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))))) (tptp.combb (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.combs tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.combs tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))))) (tptp.combb (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) tptp.real) (tptp.combs tptp.real (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))))) (tptp.combb (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) tptp.real) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))))) (tptp.combb tptp.bool (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.fun (tptp.product_prod tptp.real tptp.real) (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.if (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.real tptp.bool)) (tptp.combb (tptp.product_prod tptp.real tptp.real) tptp.bool tptp.real) P_1)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.combs tptp.real (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))))) (tptp.combb (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.combb tptp.real (tptp.product_prod tptp.real tptp.real) tptp.real)) (tptp.product_Pair tptp.real tptp.real))) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.real tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.combc tptp.real tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real))) (tptp.plus_plus tptp.real)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.combc tptp.real (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))))) (tptp.combb (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.combs tptp.real tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.combb tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) tptp.real) (tptp.product_Pair tptp.real tptp.real))) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.real tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.combc tptp.real tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real))) (tptp.plus_plus tptp.real)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.combi tptp.real))))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.combs tptp.real (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))))) (tptp.combb (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.product_prod tptp.real tptp.real))) tptp.real) (tptp.combb tptp.real (tptp.product_prod tptp.real tptp.real) tptp.real)) (tptp.product_Pair tptp.real tptp.real))) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.real tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.combc tptp.real tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real))) (tptp.plus_plus tptp.real)))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_1)))))
% 22.01/22.26 (assume a4326 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted) (N_4 $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) C_1) (tptp.one_one tptp.real))) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_4) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C_1) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F N_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F))))))))
% 22.01/22.26 (assume a4327 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted) (C_1 $$unsorted) (N_4 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_4) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2)))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) C_1) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP tptp.nat X_a F N_2))))))) (or (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) C_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F))))))))
% 22.01/22.26 (assume a4328 (forall ((A_2 $$unsorted) (R_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) A_2)) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) A_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) N_2))))) R_1)))))))))
% 22.01/22.26 (assume a4329 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (Z $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_4) B_4)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_c tptp.bool) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.fun X_c tptp.bool) tptp.bool) (tptp.member X_c) Z) (tptp.hAPP X_b (tptp.fun X_c tptp.bool) (tptp.hAPP X_a (tptp.fun X_b (tptp.fun X_c tptp.bool)) C_1 A_4) B_4))))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_c tptp.bool) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.fun X_c tptp.bool) tptp.bool) (tptp.member X_c) Z) (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_c tptp.bool))) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool)) (tptp.product_prod_case X_a X_b (tptp.fun X_c tptp.bool)) C_1) P_4))))))
% 22.01/22.26 (assume a4330 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_c tptp.bool))) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool)) (tptp.product_prod_case X_a X_b (tptp.fun X_c tptp.bool)) C_1) P_4) Z)) (not (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP X_b (tptp.fun X_c tptp.bool) (tptp.hAPP X_a (tptp.fun X_b (tptp.fun X_c tptp.bool)) C_1 X_2) Y_2) Z)))))))))
% 22.01/22.26 (assume a4331 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (Z $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP (tptp.product_prod X_b X_c) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.product_prod X_b X_c) (tptp.fun X_a tptp.bool)) (tptp.product_prod_case X_b X_c (tptp.fun X_a tptp.bool)) C_1) P_4))) (not (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_b X_c) P_4) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Z) (tptp.hAPP X_c (tptp.fun X_a tptp.bool) (tptp.hAPP X_b (tptp.fun X_c (tptp.fun X_a tptp.bool)) C_1 X_2) Y_2))))))))))
% 22.01/22.26 (assume a4332 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted) (C_1 $$unsorted) (X_1 $$unsorted) (P_4 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_4) B_4) (tptp.ti (tptp.product_prod X_a X_b) P_4)) (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP X_b (tptp.fun X_c tptp.bool) (tptp.hAPP X_a (tptp.fun X_b (tptp.fun X_c tptp.bool)) C_1 A_4) B_4) X_1)))) (tptp.hBOOL (tptp.hAPP X_c tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_c tptp.bool))) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_c tptp.bool)) (tptp.product_prod_case X_a X_b (tptp.fun X_c tptp.bool)) C_1) P_4) X_1)))))
% 22.01/22.26 (assume a4333 (forall ((X_a $$unsorted) (X_b $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) A_4) B_4)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) C_1 A_4) B_4)))) (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) C_1) P_4)))))
% 22.01/22.26 (assume a4334 (forall ((X_a $$unsorted) (X_b $$unsorted) (C_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.product_prod X_a X_b) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) C_1) P_4)) (not (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) C_1 X_2) Y_2)))))))))
% 22.01/22.26 (assume a4335 (forall ((L $$unsorted) (K $$unsorted)) (and (=> (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))) (=> (not (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int))) (and (=> (= (tptp.ti tptp.int L) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) K))) (=> (not (= (tptp.ti tptp.int L) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) L))) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.if (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) L)) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) K))) (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) L) (tptp.zero_zero tptp.int))) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) K) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K) L)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combs tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.if (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.fequal tptp.int)) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.combc tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.uminus_uminus tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combb tptp.int (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.minus_minus tptp.int)) (tptp.uminus_uminus tptp.int))) (tptp.one_one tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L))))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K) L)))))))))))
% 22.01/22.26 (assume a4336 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (F $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b)) (tptp.product_apsnd X_c X_b X_a) F) (tptp.hAPP X_c (tptp.product_prod X_a X_c) (tptp.hAPP X_a (tptp.fun X_c (tptp.product_prod X_a X_c)) (tptp.product_Pair X_a X_c) X_1) Y_1)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_1) (tptp.hAPP X_c X_b F Y_1)))))
% 22.01/22.26 (assume a4337 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_a (tptp.product_fst X_a X_b) (tptp.hAPP (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b)) (tptp.product_apsnd X_c X_b X_a) F) X_1)) (tptp.hAPP (tptp.product_prod X_a X_c) X_a (tptp.product_fst X_a X_c) X_1))))
% 22.01/22.26 (assume a4338 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (F $$unsorted) (X_1 $$unsorted) (G $$unsorted)) (= (= (tptp.hAPP (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b)) (tptp.product_apsnd X_c X_b X_a) F) X_1) (tptp.hAPP (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.product_prod X_a X_c) (tptp.product_prod X_a X_b)) (tptp.product_apsnd X_c X_b X_a) G) X_1)) (= (tptp.hAPP X_c X_b F (tptp.hAPP (tptp.product_prod X_a X_c) X_c (tptp.product_snd X_a X_c) X_1)) (tptp.hAPP X_c X_b G (tptp.hAPP (tptp.product_prod X_a X_c) X_c (tptp.product_snd X_a X_c) X_1))))))
% 22.01/22.26 (assume a4339 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted) (F $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) (tptp.hAPP (tptp.product_prod X_b X_c) (tptp.product_prod X_b X_a) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.product_prod X_b X_c) (tptp.product_prod X_b X_a)) (tptp.product_apsnd X_c X_a X_b) F) X_1)) (tptp.hAPP X_c X_a F (tptp.hAPP (tptp.product_prod X_b X_c) X_c (tptp.product_snd X_b X_c) X_1)))))
% 22.01/22.26 (assume a4340 (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))))
% 22.01/22.26 (assume a4341 (forall ((L $$unsorted) (K $$unsorted)) (and (=> (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.zero_zero tptp.int)))) (=> (not (= (tptp.ti tptp.int K) (tptp.zero_zero tptp.int))) (and (=> (= (tptp.ti tptp.int L) (tptp.zero_zero tptp.int)) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) K))) (=> (not (= (tptp.ti tptp.int L) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.divmod_int K) L) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) L))) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.if (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) K)) (tptp.hAPP tptp.int tptp.int (tptp.sgn_sgn tptp.int) L))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K) L)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_prod_case tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combs tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combs tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))))) (tptp.combb tptp.bool (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.if (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.fequal tptp.int)) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.combc tptp.int tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.uminus_uminus tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))))) (tptp.combb (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) tptp.int) (tptp.combb tptp.int (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)))) (tptp.combb tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.int) (tptp.product_Pair tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.minus_minus tptp.int)) (tptp.uminus_uminus tptp.int))) (tptp.one_one tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L))))) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.pdivmod K) L)))))))))))
% 22.01/22.26 (assume a4342 (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2))) (tptp.hAPP tptp.nat tptp.real G N_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) G)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) G))))))))
% 22.01/22.26 (assume a4343 (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F N_2)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4344 (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F N_2)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4345 (forall ((F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F N_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4346 (forall ((D_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) tptp.int_ge_less_than D_1) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.collect (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combs tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.bool tptp.bool tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) D_1)))) (tptp.ord_less tptp.int)))))))
% 22.01/22.26 (assume a4347 (forall ((D_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) tptp.int_ge_less_than2 D_1) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.collect (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) D_1)))) (tptp.ord_less tptp.int)))))))
% 22.01/22.26 (assume a4348 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))
% 22.01/22.26 (assume a4349 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.cauchy tptp.real) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) X_3))))))))
% 22.01/22.26 (assume a4350 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.combk X_a tptp.nat) (tptp.zero_zero X_a))) (tptp.zero_zero X_a))))))
% 22.01/22.26 (assume a4351 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1)) F)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) C_1) A_2))))))))
% 22.01/22.26 (assume a4352 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) F)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) C_1))))))))
% 22.01/22.26 (assume a4353 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) X_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) A_2))))))))
% 22.01/22.26 (assume a4354 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) Y_1))))))))
% 22.01/22.26 (assume a4355 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2))))))))
% 22.01/22.26 (assume a4356 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) X_3)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) A_2))))))))
% 22.01/22.26 (assume a4357 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) Y_1))))))))
% 22.01/22.26 (assume a4358 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) F)) C_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) C_1))))))))
% 22.01/22.26 (assume a4359 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) Y_3) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)))))))))
% 22.01/22.26 (assume a4360 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) Y_3) B_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)))))))))
% 22.01/22.26 (assume a4361 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (forall ((F $$unsorted) (Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) Sa)) (= (tptp.ti X_a Sa) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F)))))))
% 22.01/22.26 (assume a4362 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (forall ((F $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) X1))))))))
% 22.01/22.26 (assume a4363 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) L)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)))))))
% 22.01/22.26 (assume a4364 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F))))))))
% 22.01/22.26 (assume a4365 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (forall ((F $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) X_1)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F) (tptp.ti X_a X_1))))))))
% 22.01/22.26 (assume a4366 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (forall ((Sa $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat X_a F (tptp.zero_zero tptp.nat)) (tptp.zero_zero X_a)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) Sa)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) Sa))))))))
% 22.01/22.26 (assume a4367 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) L)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) L) (tptp.hAPP tptp.nat X_a F (tptp.zero_zero tptp.nat))))))))))
% 22.01/22.26 (assume a4368 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.sin_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)))))
% 22.01/22.26 (assume a4369 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) tptp.cos_coeff)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)))))
% 22.01/22.26 (assume a4370 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.one_one X_a)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.one_one X_a)) X_1)))))))))
% 22.01/22.26 (assume a4371 (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) tptp.suc)) (tptp.one_one tptp.real))))
% 22.01/22.26 (assume a4372 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) X_3))))))))
% 22.01/22.26 (assume a4373 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4374 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_1))))))))
% 22.01/22.26 (assume a4375 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.26 (assume a4376 (forall ((G $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) G) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.zero_zero tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) G) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) X_1)))))
% 22.01/22.26 (assume a4377 (forall ((F $$unsorted) (Y_1 $$unsorted) (G $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) G) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) F) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combs tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) G) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X_1) Y_1)))))))
% 22.01/22.26 (assume a4378 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real tptp.real tptp.cos X_1)))))
% 22.01/22.26 (assume a4379 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.ring_1 X_a)) (forall ((C_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.semiring_1_of_nat X_a))) C_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))))))))
% 22.01/22.26 (assume a4380 (forall ((X_a $$unsorted) (A_2 $$unsorted) (F $$unsorted) (V_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.nat_case X_a) A_2) F) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.nat_case X_a) A_2) F) N_1)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1))))))
% 22.01/22.26 (assume a4381 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex tptp.bool) (tptp.sums tptp.complex) X_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex tptp.bool) (tptp.sums tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex)) (tptp.combb tptp.complex tptp.complex tptp.nat) tptp.cnj) X_3)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj A_2))))))
% 22.01/22.26 (assume a4382 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted) (Nat $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.nat_case X_a) F1) F2) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat)) (tptp.hAPP tptp.nat X_a F2 Nat))))
% 22.01/22.26 (assume a4383 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((F $$unsorted) (X_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) F)) X_2) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) F) X_2)))))))
% 22.01/22.26 (assume a4384 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.nat_case X_a) F1) F2) (tptp.zero_zero tptp.nat)) (tptp.ti X_a F1))))
% 22.01/22.26 (assume a4385 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((C_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) C_1)) X_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1) X_2)))))))
% 22.01/22.26 (assume a4386 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex tptp.bool) (tptp.sums tptp.complex) X_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.re) X_3)) (tptp.hAPP tptp.complex tptp.real tptp.re A_2))))))
% 22.01/22.26 (assume a4387 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex tptp.bool) (tptp.sums tptp.complex) X_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.im) X_3)) (tptp.hAPP tptp.complex tptp.real tptp.im A_2))))))
% 22.01/22.26 (assume a4388 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff) N_1) (tptp.hAPP tptp.nat tptp.real tptp.cos_coeff N_1))))
% 22.01/22.26 (assume a4389 (= (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff) tptp.cos_coeff))
% 22.01/22.26 (assume a4390 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((C_1 $$unsorted) (X_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1) X_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat tptp.suc X_2))) (tptp.hAPP tptp.nat X_a C_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc X_2))))))))
% 22.01/22.26 (assume a4391 (forall ((X_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))) X_2) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) X_2))))))
% 22.01/22.26 (assume a4392 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.bool (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.nat_case tptp.bool) tptp.fFalse) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma)) N_1)))))
% 22.01/22.26 (assume a4393 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.cos_coeff) N_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.nat tptp.real tptp.sin_coeff N_1)))))
% 22.01/22.26 (assume a4394 (forall ((X_2 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.cos_coeff) X_2) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.nat tptp.real tptp.sin_coeff X_2)))))
% 22.01/22.26 (assume a4395 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.nat_case tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.combi tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma) N_1)))))
% 22.01/22.26 (assume a4396 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted) (C_1 $$unsorted) (K_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) C_1)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) K_3)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) K_3)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1)))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) K_3)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) K_3))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) X_a) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a X_a)) (tptp.combb (tptp.fun tptp.nat X_a) X_a X_a) (tptp.suminf X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) C_1))) (tptp.power_power X_a)))) X_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))))))))))))
% 22.01/22.26 (assume a4397 (forall ((X_a $$unsorted) (A_2 $$unsorted) (F $$unsorted) (V_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.nat_case X_a) A_2) F) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) A_2) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1))))))))
% 22.01/22.26 (assume a4398 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (F $$unsorted) (P_1 $$unsorted) (P_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 (tptp.hAPP (tptp.product_prod X_b X_a) X_a (tptp.product_snd X_b X_a) P_4)) (tptp.hAPP (tptp.product_prod X_b X_a) X_b (tptp.product_fst X_b X_a) P_4))) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 Y_2) X_2)) (tptp.hBOOL (tptp.hAPP X_c tptp.bool Q_1 (tptp.hAPP X_a X_c (tptp.hAPP X_b (tptp.fun X_a X_c) F X_2) Y_2))))) (tptp.hBOOL (tptp.hAPP X_c tptp.bool Q_1 (tptp.hAPP (tptp.product_prod X_b X_a) X_c (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun (tptp.product_prod X_b X_a) X_c) (tptp.product_prod_case X_b X_a X_c) F) P_4)))))))
% 22.01/22.26 (assume a4399 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (exists ((N_2 $$unsorted) (F_3 $$unsorted)) (= (tptp.ti (tptp.fun X_a tptp.bool) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image tptp.nat X_a) F_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.ord_less tptp.nat)) N_2))))))))
% 22.01/22.26 (assume a4400 (forall ((X_a $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) A_3)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP X_a tptp.nat F I_2)) X_1) (tptp.one_one tptp.nat)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) F) A_3)) X_1) (tptp.one_one tptp.nat)))))
% 22.01/22.26 (assume a4401 (forall ((F $$unsorted) (G $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) (tptp.hAPP tptp.nat tptp.real G N_2)))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) G)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) G))))))))
% 22.01/22.26 (assume a4402 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (=> (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP tptp.nat X_a X_3 M_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)))))))
% 22.01/22.26 (assume a4403 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (=> (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 M_2)) (tptp.hAPP tptp.nat X_a X_3 N_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)))))))
% 22.01/22.26 (assume a4404 (forall ((Y_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.arctan Y_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.tan)) Y_1)))))))
% 22.01/22.26 (assume a4405 (forall ((Y_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.arcsin Y_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.sin)) Y_1)))))))
% 22.01/22.26 (assume a4406 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.ln X_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) (tptp.exp tptp.real))) X_1)))))
% 22.01/22.26 (assume a4407 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (forall ((F $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.the X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F)))))))
% 22.01/22.26 (assume a4408 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.power_power tptp.real)) N_1))) X_1))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1))) (and (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.power_power tptp.real)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X_1))))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real)))) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1) X_1) (tptp.zero_zero tptp.real))))))))
% 22.01/22.26 (assume a4409 (forall ((Y_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.arccos Y_1) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) tptp.pi))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) Y_1)))))))
% 22.01/22.26 (assume a4410 (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))))
% 22.01/22.26 (assume a4411 (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))
% 22.01/22.26 (assume a4412 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat X_a X_3 N_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)))))))
% 22.01/22.26 (assume a4413 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_3 $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) (tptp.hAPP tptp.nat X_a X_3 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.monoseq X_a) X_3)))))))
% 22.01/22.26 (assume a4414 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.the (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combc X_a (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) X_a) (tptp.combb tptp.bool tptp.bool X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) X_1)))) (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.fequal X_b) Y_1)))) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_1) Y_1))))
% 22.01/22.26 (assume a4415 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.the (tptp.product_prod X_a X_b)) P_1) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.the (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool)) (tptp.combb (tptp.product_prod X_a X_b) tptp.bool X_b) P_1)) (tptp.product_Pair X_a X_b)))))))
% 22.01/22.26 (assume a4416 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.product_prod tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.product_prod tptp.nat tptp.nat)) tptp.divmod_nat Ma) N_1) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod tptp.nat tptp.nat) (tptp.the (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool)) tptp.divmod_nat_rel Ma) N_1)))))
% 22.01/22.26 (assume a4417 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.the (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) P_1)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.the (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool)) (tptp.combs (tptp.product_prod X_a X_b) X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool))) (tptp.combb X_a (tptp.fun X_b tptp.bool) (tptp.product_prod X_a X_b)) P_1) (tptp.product_fst X_a X_b))) (tptp.product_snd X_a X_b))))))
% 22.01/22.26 (assume a4418 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.int (tptp.archim2085082626_floor tptp.real) X_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.the tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.int) (tptp.ord_less_eq tptp.real)) (tptp.ring_1_of_int tptp.real))) X_1))) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.real tptp.bool tptp.int) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.real) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.real)) (tptp.combb tptp.int tptp.real tptp.int) (tptp.ring_1_of_int tptp.real)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.plus_plus tptp.int)) (tptp.one_one tptp.int)))))))))
% 22.01/22.26 (assume a4419 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.rat tptp.int (tptp.archim2085082626_floor tptp.rat) X_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.the tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.rat (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.rat tptp.bool)) (tptp.fun tptp.rat (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.rat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.rat) (tptp.fun tptp.int (tptp.fun tptp.rat tptp.bool)) (tptp.hAPP (tptp.fun tptp.rat (tptp.fun tptp.rat tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.rat) (tptp.fun tptp.int (tptp.fun tptp.rat tptp.bool))) (tptp.combb tptp.rat (tptp.fun tptp.rat tptp.bool) tptp.int) (tptp.ord_less_eq tptp.rat)) (tptp.ring_1_of_int tptp.rat))) X_1))) (tptp.hAPP (tptp.fun tptp.int tptp.rat) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.rat tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.rat) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.rat tptp.bool tptp.int) (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) X_1)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.rat) (tptp.hAPP (tptp.fun tptp.int tptp.rat) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.rat)) (tptp.combb tptp.int tptp.rat tptp.int) (tptp.ring_1_of_int tptp.rat)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.plus_plus tptp.int)) (tptp.one_one tptp.int)))))))))
% 22.01/22.26 (assume a4420 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((G $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b G X_2) (tptp.one_one X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3) (tptp.one_one X_b))))))))
% 22.01/22.26 (assume a4421 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.linordered_semidom X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less X_b) (tptp.zero_zero X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3))))))))
% 22.01/22.26 (assume a4422 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.linordered_semidom X_b) (forall ((G $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (and (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F X_2))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2)))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3))))))))
% 22.01/22.26 (assume a4423 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.linordered_semidom X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3))))))))
% 22.01/22.26 (assume a4424 (forall ((X_a $$unsorted) (A_2 $$unsorted) (F $$unsorted) (V_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) A_2) F) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) A_2) F) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1)) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) A_2) F) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1)))))))
% 22.01/22.26 (assume a4425 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (and (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hilbert_Eps tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2)) Ma))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))) (=> (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) tptp.rRset2norRR A_3) Ma) A_2) (tptp.zero_zero tptp.int))))))
% 22.01/22.26 (assume a4426 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted) (Nat $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) F1) F2) (tptp.hAPP tptp.nat tptp.nat tptp.suc Nat)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) F2 Nat) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) F1) F2) Nat)))))
% 22.01/22.26 (assume a4427 (forall ((X_a $$unsorted) (F1 $$unsorted) (F2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) F1) F2) (tptp.zero_zero tptp.nat)) (tptp.ti X_a F1))))
% 22.01/22.26 (assume a4428 (forall ((A_2 $$unsorted) (A_3 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.one_one tptp.int)) Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.is_RRset A_3) Ma)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) A_2) A_3)) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hilbert_Eps tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2)) Ma))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma))))) Ma)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hilbert_Eps tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong A_2)) Ma))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) tptp.norRRset Ma)))))))))
% 22.01/22.26 (assume a4429 (forall ((X_a $$unsorted) (A_2 $$unsorted) (F $$unsorted) (V_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) A_2) F) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) A_2) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) F (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) A_2) F) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))))))))
% 22.01/22.26 (assume a4430 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.semiri532925092at_aux X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.plus_plus X_a)) (tptp.one_one X_a))) N_1) (tptp.zero_zero X_a)))))))
% 22.01/22.26 (assume a4431 (forall ((X_b $$unsorted) (X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool)) (tptp.prod X_a X_b) A_3) B_2) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.collect (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combc X_a (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) X_a) (tptp.combb tptp.bool tptp.bool X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3)))) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combc X_b (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b)) B_2)))))))
% 22.01/22.26 (assume a4432 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((Inc $$unsorted) (I $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.semiri532925092at_aux X_a) Inc) (tptp.zero_zero tptp.nat)) I) (tptp.ti X_a I))))))
% 22.01/22.26 (assume a4433 (forall ((X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((Inc $$unsorted) (N_1 $$unsorted) (I $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.semiri532925092at_aux X_a) Inc) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) I) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.semiri532925092at_aux X_a) Inc) N_1) (tptp.hAPP X_a X_a Inc I)))))))
% 22.01/22.26 (assume a4434 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin X_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.zero_zero tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) N_1))))))
% 22.01/22.26 (assume a4435 (forall ((U_1 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_2) (tptp.hAPP tptp.nat tptp.nat F N_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.collect tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.ord_less_eq tptp.nat)) F)) U_1)))))))
% 22.01/22.26 (assume a4436 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) L) U_1)))))
% 22.01/22.26 (assume a4437 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3))) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.abs_abs X_a)) F)) A_3)))))))
% 22.01/22.26 (assume a4438 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.abs_abs X_a)) F)) A_3)))))))
% 22.01/22.26 (assume a4439 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((K $$unsorted) (F $$unsorted) (Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) Sa)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Sa) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))))))
% 22.01/22.26 (assume a4440 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((K $$unsorted) (Sa $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (=> (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F) (tptp.ti X_a Sa)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Sa) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))))))
% 22.01/22.26 (assume a4441 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((K $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))))))))))
% 22.01/22.26 (assume a4442 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_b tptp.int) (tptp.fun (tptp.fun X_b tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_b tptp.int) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b tptp.int) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun X_b tptp.int) (tptp.fun X_b X_a)) (tptp.combb tptp.int X_a X_b) (tptp.ring_1_of_int X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4443 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun (tptp.fun X_b tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_b tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun X_b tptp.nat) (tptp.fun X_b X_a)) (tptp.combb tptp.nat X_a X_b) (tptp.semiring_1_of_nat X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4444 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((F $$unsorted) (N_1 $$unsorted) (R_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) R_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) R_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))))
% 22.01/22.26 (assume a4445 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combs tptp.nat tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)))) (tptp.combb tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.ord_atLeastLessThan tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) K))) K)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) K))))))))
% 22.01/22.26 (assume a4446 (forall ((X_a $$unsorted)) (=> (and (tptp.monoid_mult X_a) (tptp.comm_semiring_0 X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Y_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))))))))
% 22.01/22.26 (assume a4447 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.power X_a)) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1)))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))))
% 22.01/22.26 (assume a4448 (forall ((F $$unsorted) (N_1 $$unsorted) (R_1 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) R_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.minus_minus tptp.real)) F)) R_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))
% 22.01/22.26 (assume a4449 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3))) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_b tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_b tptp.real) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b tptp.real)) (tptp.combb X_a tptp.real X_b) (tptp.norm_norm X_a)) F)) A_3)))))))
% 22.01/22.26 (assume a4450 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1)))))))
% 22.01/22.26 (assume a4451 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (=> (not (= (tptp.ti X_a X_1) (tptp.one_one X_a))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) N_1)) (tptp.one_one X_a))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_1) (tptp.one_one X_a)))))))))
% 22.01/22.26 (assume a4452 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((F $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))))
% 22.01/22.26 (assume a4453 (forall ((K $$unsorted) (N_1 $$unsorted) (F_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))
% 22.01/22.26 (assume a4454 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted) (K $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))))
% 22.01/22.26 (assume a4455 (forall ((K $$unsorted) (N_2 $$unsorted) (F_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_2) K))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))
% 22.01/22.26 (assume a4456 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((G $$unsorted) (A_3 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)) Y_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combc X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.inverse_divide X_a)) G)) Y_1)) A_3))))))
% 22.01/22.26 (assume a4457 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3))) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) B_2)))) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) B_2))) F)) (tptp.zero_zero X_b))) A_3)))))))
% 22.01/22.26 (assume a4458 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (P_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3))) P_1))) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) P_1)) F)) (tptp.zero_zero X_b))) A_3)))))))
% 22.01/22.26 (assume a4459 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1)))))))
% 22.01/22.26 (assume a4460 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted)) (=> (tptp.comm_monoid_add X_c) (forall ((F $$unsorted) (R_3 $$unsorted) (T_3 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) T_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_c (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c) (tptp.big_co1399186613setsum X_a X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) X_c)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a X_c)) (tptp.combs X_a (tptp.fun X_b tptp.bool) X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) X_c)) (tptp.hAPP (tptp.fun (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_b tptp.bool) X_c)) (tptp.fun (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) X_c))) (tptp.combb (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_b tptp.bool) X_c) X_a) (tptp.big_co1399186613setsum X_b X_c)) F)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.collect X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combs X_b tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_b) tptp.fconj) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combc X_b (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b)) T_3)))) R_3)))) S) (tptp.hAPP (tptp.fun X_b tptp.bool) X_c (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_b tptp.bool) X_c) (tptp.big_co1399186613setsum X_b X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b X_c)) (tptp.combs X_b (tptp.fun X_a tptp.bool) X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c))) (tptp.combb (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c) X_b) (tptp.big_co1399186613setsum X_a X_c)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.combc X_a X_b X_c) F))) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) X_b) (tptp.collect X_a)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) S)))) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_b tptp.bool) R_3))))) T_3))))))))
% 22.01/22.26 (assume a4461 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_b tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_b tptp.real) G) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun X_b tptp.real) (tptp.fun X_b X_a)) (tptp.combb tptp.real X_a X_b) (tptp.of_real X_a)) G)) A_3))))))
% 22.01/22.26 (assume a4462 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((G $$unsorted) (A_3 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)) Y_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combc X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.times_times X_a)) G)) Y_1)) A_3))))))
% 22.01/22.26 (assume a4463 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) G)) A_3))))))
% 22.01/22.26 (assume a4464 (forall ((F $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) F)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) N_1)) (tptp.zero_zero tptp.real))))
% 22.01/22.26 (assume a4465 (forall ((P_1 $$unsorted) (N_1 $$unsorted)) (= (exists ((M_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 M_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X_2)))))))
% 22.01/22.26 (assume a4466 (forall ((P_1 $$unsorted) (N_1 $$unsorted)) (= (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 M_2)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X_2)))))))
% 22.01/22.26 (assume a4467 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) D_1)) (= (tptp.ti X_a B_1) (tptp.ti X_a D_1)))))))))
% 22.01/22.26 (assume a4468 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) D_1)) (= (tptp.ti X_a A_2) (tptp.ti X_a C_1)))))))))
% 22.01/22.26 (assume a4469 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((C_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) D_1)) (= (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1)) (and (= (tptp.ti X_a A_2) (tptp.ti X_a C_1)) (= (tptp.ti X_a B_1) (tptp.ti X_a D_1))))))))))
% 22.01/22.26 (assume a4470 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((K $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat X_a F (tptp.zero_zero tptp.nat)) (tptp.zero_zero X_a)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) K)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))))))))
% 22.01/22.26 (assume a4471 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) A_2)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)))))))))
% 22.01/22.26 (assume a4472 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((F $$unsorted) (P_4 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) P_4)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) P_4))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) N_1) P_4)))))))))
% 22.01/22.26 (assume a4473 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (P_4 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) P_4)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) N_1) P_4))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) P_4)))))))))
% 22.01/22.26 (assume a4474 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) L) U_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) U_1) L))))
% 22.01/22.26 (assume a4475 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) Ma) N_1)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a F Ma)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) N_1)))))))))
% 22.01/22.26 (assume a4476 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.zero_zero X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) N_1) Ma))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1))) (tptp.hAPP tptp.nat X_a F N_1)))))))))
% 22.01/22.26 (assume a4477 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Ma $$unsorted) (I $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) I) N_1)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) I) Ma)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) I) N_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) N_1) Ma)))))))
% 22.01/22.26 (assume a4478 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (=> (not (= X_1 (tptp.one_one tptp.real))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1)) (tptp.one_one tptp.real))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X_1) (tptp.one_one tptp.real)))))))
% 22.01/22.26 (assume a4479 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) A_3) (tptp.zero_zero X_b)))))))
% 22.01/22.26 (assume a4480 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3) (tptp.zero_zero X_b)))))))
% 22.01/22.26 (assume a4481 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (=> (tptp.semiring_0 X_a) (forall ((F $$unsorted) (A_3 $$unsorted) (G $$unsorted) (B_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_c tptp.bool) X_a (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a) (tptp.big_co1399186613setsum X_c X_a) G) B_2)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_c tptp.bool) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.fun (tptp.fun X_c tptp.bool) (tptp.fun X_b X_a)) (tptp.combc X_b (tptp.fun X_c tptp.bool) X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.fun (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a))) (tptp.combb (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a) X_b) (tptp.big_co1399186613setsum X_c X_a)) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_a))) (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_b (tptp.fun X_c X_a))) (tptp.combc X_b (tptp.fun X_c X_a) (tptp.fun X_c X_a)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_a))) (tptp.hAPP (tptp.fun (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_a))) (tptp.fun (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_a)))) (tptp.combb (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_a)) X_b) (tptp.combb X_a X_a X_c)) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.times_times X_a)) F))) G))) B_2)) A_3))))))
% 22.01/22.26 (assume a4482 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.semiring_0 X_a) (forall ((F $$unsorted) (A_3 $$unsorted) (R_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) R_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combc X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.times_times X_a)) F)) R_1)) A_3))))))
% 22.01/22.26 (assume a4483 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.semiring_0 X_a) (forall ((R_1 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) R_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) R_1)) F)) A_3))))))
% 22.01/22.26 (assume a4484 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ordere142940540dd_abs X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.abs_abs X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.abs_abs X_a)) F)) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.abs_abs X_a)) F)) A_3))))))
% 22.01/22.26 (assume a4485 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.uminus_uminus X_a)) F)) A_3) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)))))))
% 22.01/22.26 (assume a4486 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_c tptp.bool) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.fun (tptp.fun X_c tptp.bool) (tptp.fun X_b X_a)) (tptp.combc X_b (tptp.fun X_c tptp.bool) X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a)) (tptp.fun (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun X_b (tptp.fun (tptp.fun X_c tptp.bool) X_a))) (tptp.combb (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a) X_b) (tptp.big_co1399186613setsum X_c X_a)) F)) B_2)) A_3) (tptp.hAPP (tptp.fun X_c tptp.bool) X_a (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun (tptp.fun X_c tptp.bool) X_a) (tptp.big_co1399186613setsum X_c X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_c X_a) (tptp.hAPP (tptp.fun X_c (tptp.fun (tptp.fun X_b tptp.bool) X_a)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_c X_a)) (tptp.combc X_c (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun X_c (tptp.fun X_b X_a)) (tptp.fun X_c (tptp.fun (tptp.fun X_b tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a)) (tptp.fun (tptp.fun X_c (tptp.fun X_b X_a)) (tptp.fun X_c (tptp.fun (tptp.fun X_b tptp.bool) X_a))) (tptp.combb (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) X_c) (tptp.big_co1399186613setsum X_b X_a)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun X_c (tptp.fun X_b X_a)) (tptp.combc X_b X_c X_a) F))) A_3)) B_2))))))
% 22.01/22.26 (assume a4487 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) (tptp.zero_zero X_b))) S) (tptp.hAPP X_a X_b B_1 A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) A_2))) B_1)) (tptp.zero_zero X_b))) S) (tptp.zero_zero X_b)))))))))
% 22.01/22.26 (assume a4488 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((B_1 $$unsorted) (A_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (and (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) A_2))) B_1)) (tptp.zero_zero X_b))) S) (tptp.hAPP X_a X_b B_1 A_2))) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) A_2) S))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combs X_a X_b (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun X_b (tptp.fun X_b X_b))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun X_b (tptp.fun X_b X_b)))) (tptp.combb tptp.bool (tptp.fun X_b (tptp.fun X_b X_b)) X_a) (tptp.if X_b)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) A_2))) B_1)) (tptp.zero_zero X_b))) S) (tptp.zero_zero X_b)))))))))
% 22.01/22.26 (assume a4489 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) (tptp.zero_zero X_a))) A_3) (tptp.zero_zero X_a))))))
% 22.01/22.26 (assume a4490 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.field X_a) (forall ((F $$unsorted) (A_3 $$unsorted) (R_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) R_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combc X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.inverse_divide X_a)) F)) R_1)) A_3))))))
% 22.01/22.26 (assume a4491 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (H $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) G)) H)) A_3) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) H) A_3))))))))
% 22.01/22.26 (assume a4492 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combs X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.plus_plus X_a)) F)) G)) A_3) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)))))))
% 22.01/22.26 (assume a4493 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combs X_b X_a X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_b) (tptp.minus_minus X_a)) F)) G)) A_3) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) F) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)))))))
% 22.01/22.26 (assume a4494 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc L)) U_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_gr676655987ssThan tptp.nat) L) U_1))))
% 22.01/22.26 (assume a4495 (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) I) J)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J) K)))))
% 22.01/22.26 (assume a4496 (forall ((X_c $$unsorted) (X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (F $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) S) (tptp.hAPP (tptp.fun X_c tptp.bool) X_b (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun (tptp.fun X_c tptp.bool) X_b) (tptp.big_co1399186613setsum X_c X_b) (tptp.hAPP (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c X_b) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.fun (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c X_b)) (tptp.combb (tptp.fun X_a tptp.bool) X_b X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G)) (tptp.hAPP (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c (tptp.fun X_a tptp.bool))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) X_c) (tptp.collect X_a)) (tptp.hAPP (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.fun X_c (tptp.fun X_a tptp.bool))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) S)))) (tptp.hAPP (tptp.fun X_a (tptp.fun X_c tptp.bool)) (tptp.fun X_c (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_c tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_a (tptp.fun X_c tptp.bool)) (tptp.hAPP (tptp.fun X_c (tptp.fun X_c tptp.bool)) (tptp.fun (tptp.fun X_a X_c) (tptp.fun X_a (tptp.fun X_c tptp.bool))) (tptp.combb X_c (tptp.fun X_c tptp.bool) X_a) (tptp.fequal X_c)) F)))))) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_c tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_c tptp.bool)) (tptp.image X_a X_c) F) S))))))))
% 22.01/22.26 (assume a4497 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) I) J)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)) (tptp.hAPP tptp.nat tptp.nat tptp.suc J)))))
% 22.01/22.26 (assume a4498 (forall ((X_a $$unsorted)) (=> (and (tptp.monoid_mult X_a) (tptp.comm_ring X_a)) (forall ((Z $$unsorted) (H $$unsorted) (Ma $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma)))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z) Ma))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) Ma)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z))) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) Ma))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) Ma)))))))
% 22.01/22.26 (assume a4499 (forall ((X_a $$unsorted)) (=> (and (tptp.monoid_mult X_a) (tptp.comm_ring X_a)) (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_1) Y_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)))))))))
% 22.01/22.26 (assume a4500 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.semiring_1 X_a) (forall ((Y_1 $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) Y_1)) A_3) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) A_3))) Y_1))))))
% 22.01/22.26 (assume a4501 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_a tptp.real) (tptp.hAPP tptp.real (tptp.fun X_a tptp.real) (tptp.combk tptp.real X_a) (tptp.one_one tptp.real))) A_3))))
% 22.01/22.26 (assume a4502 (forall ((Diff $$unsorted) (N_1 $$unsorted) (X_1 $$unsorted)) (=> (= X_1 (tptp.zero_zero tptp.real)) (=> (not (= N_1 (tptp.zero_zero tptp.nat))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.real)))))))
% 22.01/22.26 (assume a4503 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((K $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) K)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combs tptp.nat tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)))) (tptp.combb tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.ord_atLeastLessThan tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) K))) K)))) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F)))))))))
% 22.01/22.26 (assume a4504 (forall ((A_3 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) A_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) A_3))))) (= A_3 (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) A_3)))))))
% 22.01/22.26 (assume a4505 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ab_group_add X_b) (forall ((F $$unsorted) (B_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) B_2)))))))))
% 22.01/22.26 (assume a4506 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_gr676655987ssThan X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)))))))))
% 22.01/22.26 (assume a4507 (forall ((F $$unsorted) (G $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combs tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) F)) G)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) G) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))))))
% 22.01/22.26 (assume a4508 (forall ((X_a $$unsorted)) (=> (tptp.zero X_a) (forall ((Diff $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hAPP X_a tptp.real (tptp.hAPP tptp.nat (tptp.fun X_a tptp.real) Diff (tptp.zero_zero tptp.nat)) (tptp.zero_zero X_a)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP X_a (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a tptp.real)) (tptp.fun X_a (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat X_a tptp.real) Diff) (tptp.zero_zero X_a)))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP tptp.nat (tptp.fun X_a tptp.real) Diff N_1) (tptp.zero_zero X_a))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real)) N_1))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1))))))))))
% 22.01/22.26 (assume a4509 (forall ((N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) tptp.suc)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1))) (tptp.zero_zero tptp.real))))
% 22.01/22.26 (assume a4510 (forall ((X_a $$unsorted)) (=> (tptp.field X_a) (forall ((Z $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (not (= (tptp.ti X_a H) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z) H)) N_1)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z) N_1))) H)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) H) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Z) H)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Z)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))))))
% 22.01/22.26 (assume a4511 (forall ((N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combs tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real))))) (tptp.zero_zero tptp.real))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.one_one tptp.nat)) N_1)) (tptp.zero_zero tptp.real))))
% 22.01/22.26 (assume a4512 (forall ((N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combs tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.one_one tptp.real))))
% 22.01/22.26 (assume a4513 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real tptp.sin X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.zero_zero tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1))) tptp.pi)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))
% 22.01/22.26 (assume a4514 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combs tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.zero_zero tptp.real)))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.cos (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1))) tptp.pi)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))
% 22.01/22.26 (assume a4515 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) L) U_1)))))
% 22.01/22.26 (assume a4516 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_1) X_1)) (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_atLeastLessThan tptp.real) Y_1) X_1)) X_1))))
% 22.01/22.26 (assume a4517 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int)) (tptp.combb tptp.nat tptp.int X_a) (tptp.semiring_1_of_nat tptp.int)) F)) A_3))))
% 22.01/22.26 (assume a4518 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.int)) (tptp.combb tptp.nat tptp.int X_a) (tptp.semiring_1_of_nat tptp.int)) F)) A_3)))))
% 22.01/22.26 (assume a4519 (forall ((X_a $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.complex (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun (tptp.fun X_a tptp.bool) tptp.complex) (tptp.big_co1399186613setsum X_a tptp.complex) G) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.complex (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun (tptp.fun X_a tptp.bool) tptp.complex) (tptp.big_co1399186613setsum X_a tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex)) (tptp.combb tptp.complex tptp.complex X_a) tptp.cnj) G)) A_3))))
% 22.01/22.26 (assume a4520 (forall ((X_a $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.complex (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun (tptp.fun X_a tptp.bool) tptp.complex) (tptp.big_co1399186613setsum X_a tptp.complex) G) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.im) G)) A_3))))
% 22.01/22.26 (assume a4521 (forall ((X_a $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.complex (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun (tptp.fun X_a tptp.bool) tptp.complex) (tptp.big_co1399186613setsum X_a tptp.complex) G) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.re) G)) A_3))))
% 22.01/22.26 (assume a4522 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun X_a tptp.nat) (tptp.fun X_a tptp.real)) (tptp.combb tptp.nat tptp.real X_a) (tptp.real_1 tptp.nat)) F)) A_3))))
% 22.01/22.26 (assume a4523 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP tptp.int tptp.real (tptp.real_1 tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun X_a tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.real)) (tptp.combb tptp.int tptp.real X_a) (tptp.real_1 tptp.int)) F)) A_3))))
% 22.01/22.26 (assume a4524 (forall ((X_a $$unsorted) (C_1 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.int)) (tptp.combb tptp.int tptp.int X_a) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1)) F)) A_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) F) A_3))))))
% 22.01/22.26 (assume a4525 (forall ((U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) (tptp.zero_zero tptp.int)) U_1)))))
% 22.01/22.26 (assume a4526 (forall ((X_a $$unsorted) (F $$unsorted) (F_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) F_1)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) F_1) (tptp.zero_zero tptp.nat)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) F_1)) (= (tptp.hAPP X_a tptp.nat F X_2) (tptp.zero_zero tptp.nat))))))))
% 22.01/22.26 (assume a4527 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) (tptp.hAPP tptp.nat (tptp.fun X_a tptp.nat) (tptp.combk tptp.nat X_a) (tptp.one_one tptp.nat))) A_3))))
% 22.01/22.26 (assume a4528 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a tptp.nat F X_2) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Xa) A_3)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a Xa))) (= (tptp.hAPP X_a tptp.nat F Xa) (tptp.zero_zero tptp.nat)))))))))))
% 22.01/22.26 (assume a4529 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (= (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3) (tptp.one_one tptp.nat)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a tptp.nat F X_2) (tptp.one_one tptp.nat)) (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Xa) A_3)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a Xa))) (= (tptp.hAPP X_a tptp.nat F Xa) (tptp.zero_zero tptp.nat)))))))))))
% 22.01/22.26 (assume a4530 (forall ((U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) (tptp.zero_zero tptp.int)) U_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 U_1))))
% 22.01/22.26 (assume a4531 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) L) U_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) U_1) L)))))
% 22.01/22.26 (assume a4532 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) B_2) A_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) B_2)))))))
% 22.01/22.26 (assume a4533 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) L) (tptp.one_one tptp.int))) U_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_gr676655987ssThan tptp.int) L) U_1))))
% 22.01/22.26 (assume a4534 (forall ((X_a $$unsorted) (C_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) X_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) (tptp.hAPP tptp.int (tptp.fun X_a tptp.int) (tptp.combk tptp.int X_a) C_1)) X_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) C_1) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) X_3)))))))
% 22.01/22.26 (assume a4535 (forall ((X_a $$unsorted) (C_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) X_3)) (= (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) (tptp.hAPP tptp.nat (tptp.fun X_a tptp.nat) (tptp.combk tptp.nat X_a) C_1)) X_3)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) C_1)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) X_3)))))))
% 22.01/22.26 (assume a4536 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.int X_a) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.int tptp.nat) (tptp.fun tptp.int X_a)) (tptp.combb tptp.nat X_a tptp.int) F) tptp.nat_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) A_3)))))))
% 22.01/22.26 (assume a4537 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.plus_plus tptp.int)) L)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) U_1) L))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) L) U_1))))
% 22.01/22.26 (assume a4538 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.int X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.int X_a tptp.nat) F) (tptp.semiring_1_of_nat tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3))))))))
% 22.01/22.26 (assume a4539 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (exists ((T_4 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real tptp.sin X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combc tptp.nat tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)))) (tptp.combb tptp.bool (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) tptp.nat) (tptp.if tptp.real)) (tptp.even_odd_even tptp.nat))) (tptp.zero_zero tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.div_div tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real tptp.sin (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1))) tptp.pi)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1)))))))
% 22.01/22.26 (assume a4540 (forall ((B_2 $$unsorted) (K $$unsorted) (Diff $$unsorted) (H $$unsorted) (N_1 $$unsorted)) (=> (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4))))) (=> (= N_1 (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real 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(tptp.plus_plus tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat 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(tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real tptp.nat tptp.real) (tptp.power_power tptp.real)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) M_2)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) M_2)))))))) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun 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tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.nat (tptp.fun tptp.real tptp.real) tptp.nat) Diff) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)))) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) T_4))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) B_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) T_4) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)))) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2))))))))))))))))
% 22.01/22.26 (assume a4541 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (=> (not (= X_1 (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))))
% 22.01/22.26 (assume a4542 (forall ((N_1 $$unsorted) (X_1 $$unsorted)) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.exp tptp.real) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))
% 22.01/22.26 (assume a4543 (forall ((K $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((D_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) D_3)))) (tptp.hAPP tptp.nat tptp.real F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) K) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) D_3)) (tptp.one_one tptp.nat)))))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) K))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4544 (forall ((F $$unsorted) (J $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H)) (exists ((B_6 $$unsorted)) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) J)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) B_6) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1))))))))))
% 22.01/22.26 (assume a4545 (forall ((X_a $$unsorted)) (=> (tptp.linordered_semidom X_a) (forall ((K $$unsorted) (F $$unsorted) (K_3 $$unsorted) (N_1 $$unsorted)) (=> (forall ((P_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) P_6) N_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F P_6)) K_3)))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.zero_zero X_a)) K_3)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) K)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) K_3)))))))))
% 22.01/22.26 (assume a4546 (forall ((N_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) M_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F M_2))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4547 (forall ((N_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) M_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F M_2))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)))))))
% 22.01/22.26 (assume a4548 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (not (= X_1 (tptp.zero_zero tptp.real))) (=> (forall ((M_2 $$unsorted) (X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) X_2)))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))))))
% 22.01/22.26 (assume a4549 (forall ((N_1 $$unsorted) (X_1 $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (and (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (forall ((M_2 $$unsorted) (X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) X_2)))) (not (= X_1 (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1)))))))))
% 22.01/22.26 (assume a4550 (forall ((X_1 $$unsorted) (N_1 $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))))
% 22.01/22.26 (assume a4551 (forall ((Diff $$unsorted) (F $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4)))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) T_4) H)) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1)))))))))
% 22.01/22.26 (assume a4552 (forall ((N_1 $$unsorted) (Diff $$unsorted) (F $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4)))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H)) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1)))))))))
% 22.01/22.26 (assume a4553 (forall ((Diff $$unsorted) (F $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H) (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) H) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) (tptp.zero_zero tptp.real)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) T_4) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1))))))))))))
% 22.01/22.26 (assume a4554 (forall ((N_1 $$unsorted) (Diff $$unsorted) (F $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H)) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1)))))))))))
% 22.01/22.26 (assume a4555 (forall ((Diff $$unsorted) (F $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) H) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) (tptp.zero_zero tptp.real)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4)))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) H) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) T_4) (tptp.zero_zero tptp.real))) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1)))))))))
% 22.01/22.26 (assume a4556 (forall ((Diff $$unsorted) (F $$unsorted) (N_1 $$unsorted) (H $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) H)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (forall ((M_2 $$unsorted) (T_4 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) T_4) H))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) T_4) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) T_4))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) T_4)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) T_4) H)) (= (tptp.hAPP tptp.real tptp.real F H) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) H) N_1))))))))))))
% 22.01/22.26 (assume a4557 (forall ((N_1 $$unsorted) (X_1 $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (and (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (forall ((M_2 $$unsorted) (X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) X_2))))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1)))))))))
% 22.01/22.26 (assume a4558 (forall ((N_1 $$unsorted) (X_1 $$unsorted) (Diff $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.zero_zero tptp.nat)) F) (=> (forall ((M_2 $$unsorted) (X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff M_2)) X_2) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff (tptp.hAPP tptp.nat tptp.nat tptp.suc M_2)) X_2)))) (exists ((T_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) T_4)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1))) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.inverse_divide tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) Diff) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) Diff N_1) T_4)) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1) N_1))))))))))
% 22.01/22.26 (assume a4559 (forall ((X_a $$unsorted)) (=> (tptp.banach X_a) (forall ((F $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((N_3 $$unsorted)) (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) M_2)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) M_2) N_2)))) E)))))))))))))
% 22.01/22.26 (assume a4560 (forall ((F $$unsorted) (K_3 $$unsorted) (N_1 $$unsorted)) (=> (forall ((P_6 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) P_6) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F P_6)) K_3)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) N_1)) K_3))))))
% 22.01/22.26 (assume a4561 (forall ((F $$unsorted) (X_1 $$unsorted) (F_2 $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) R_2)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) R_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) N_1)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) F R_2)) X_1) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) F_2 R_2) X_1))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real tptp.real)) (tptp.combc tptp.real (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real))) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) F))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1))) X_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) F_2) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) Ma) N_1)))))))
% 22.01/22.26 (assume a4562 (forall ((X_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_2))) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) F)) X_1))))))
% 22.01/22.26 (assume a4563 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (forall ((F $$unsorted) (N_1 $$unsorted)) (=> (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) M_2)) (= (tptp.hAPP tptp.nat X_a F M_2) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))))))
% 22.01/22.26 (assume a4564 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_add X_b) (tptp.ordere779506340up_add X_b)) (forall ((F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) B_2) A_3))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) B_2))))))))))
% 22.01/22.26 (assume a4565 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ordere216010020id_add X_b) (forall ((F $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) B_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (=> (forall ((B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) B_4) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) B_2) A_3))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F B_4))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) B_2))))))))))
% 22.01/22.26 (assume a4566 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) T_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) S)))))))))
% 22.01/22.26 (assume a4567 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) S) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) T_3)))))))))
% 22.01/22.26 (assume a4568 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.ordere779506340up_add X_b) (tptp.semiring_1 X_b)) (forall ((F $$unsorted) (K_3 $$unsorted) (A_3 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F I_2)) K_3)))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) (tptp.hAPP tptp.nat X_b (tptp.semiring_1_of_nat X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) A_3))) K_3))))))))
% 22.01/22.26 (assume a4569 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.comm_monoid_mult X_a)) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (= A_3 B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set B_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (= (tptp.hAPP tptp.int X_a F X_2) (tptp.hAPP tptp.int X_a G X_2)))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.int X_a) F) A_3) (tptp.hAPP (tptp.fun tptp.int tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.int X_a) (tptp.fun (tptp.fun tptp.int tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.int X_a) G) B_2)))))))))
% 22.01/22.26 (assume a4570 (forall ((X_b $$unsorted) (X_a $$unsorted) (R_3 $$unsorted) (K $$unsorted) (T_3 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) T_3)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) S))) (tptp.hAPP X_b (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_b tptp.bool) R_3) X_2)))) K))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a tptp.nat) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) tptp.nat) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a tptp.nat)) (tptp.combb (tptp.fun X_b tptp.bool) tptp.nat X_a) (tptp.finite_card X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.collect X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combs X_b tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_b) tptp.fconj) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combc X_b (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b)) T_3)))) R_3)))) S) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) K) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.finite_card X_b) T_3))))))))
% 22.01/22.26 (assume a4571 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ordered_ab_group_add X_b) (forall ((I $$unsorted) (B_2 $$unsorted) (F $$unsorted) (Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) Sa)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) Sa)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F I_2))))) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) Sa) B_2) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I) Sa)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F I)) B_2))))))))))
% 22.01/22.26 (assume a4572 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.ordered_ab_group_add X_b) (forall ((I $$unsorted) (F $$unsorted) (Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) Sa)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) Sa)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F I_2))))) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) Sa) (tptp.zero_zero X_b)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I) Sa)) (= (tptp.hAPP X_a X_b F I) (tptp.zero_zero X_b))))))))))
% 22.01/22.26 (assume a4573 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) F) A_3) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP X_a tptp.nat F X_2))))))))
% 22.01/22.26 (assume a4574 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.ord X_a) (tptp.comm_monoid_add X_b)) (forall ((F $$unsorted) (G $$unsorted) (B_1 $$unsorted) (D_1 $$unsorted) (A_2 $$unsorted) (C_1 $$unsorted)) (=> (= (tptp.ti X_a A_2) (tptp.ti X_a C_1)) (=> (= (tptp.ti X_a B_1) (tptp.ti X_a D_1)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) X_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_2) D_1)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2))))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1))))))))))
% 22.01/22.26 (assume a4575 (forall ((X_b $$unsorted) (X_a $$unsorted) (R_3 $$unsorted) (K $$unsorted) (Ta $$unsorted) (Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) Sa)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) Ta)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) Ta)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.finite_card X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) Sa))) (tptp.hAPP X_b (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_b tptp.bool) R_3) X_2)))) (tptp.hAPP X_b tptp.nat K X_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a tptp.nat) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) tptp.nat) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a tptp.nat)) (tptp.combb (tptp.fun X_b tptp.bool) tptp.nat X_a) (tptp.finite_card X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.collect X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combs X_b tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_b) tptp.fconj) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.combc X_b (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b)) Ta)))) R_3)))) Sa) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_b tptp.nat) (tptp.fun (tptp.fun X_b tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_b tptp.nat) K) Ta)))))))
% 22.01/22.26 (assume a4576 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_field X_b) (forall ((F $$unsorted) (X_1 $$unsorted) (F_2 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) S)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) N_2) S)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.deriv X_b) (tptp.hAPP X_a (tptp.fun X_b X_b) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.combc X_b X_a X_b) F) N_2)) X_1) (tptp.hAPP X_a X_b (tptp.hAPP X_b (tptp.fun X_a X_b) F_2 X_1) N_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.deriv X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b X_b) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b X_b)) (tptp.combc X_b (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_b))) (tptp.combb (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) X_b) (tptp.big_co1399186613setsum X_a X_b)) F)) S)) X_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) F_2 X_1)) S)))))))))
% 22.01/22.26 (assume a4577 (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int F X_2))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co1399186613setsum tptp.int tptp.int) F) A_3)))))))
% 22.01/22.26 (assume a4578 (forall ((X_1 $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real F N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_2))) X_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F))))))
% 22.01/22.26 (assume a4579 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b G X_2) (tptp.zero_zero X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) A_3) (tptp.zero_zero X_b))))))))
% 22.01/22.26 (assume a4580 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_add X_b) (tptp.ordere779506340up_add X_b)) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.zero_zero X_b))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3)) (tptp.zero_zero X_b))))))))
% 22.01/22.26 (assume a4581 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_add X_b) (tptp.ordere779506340up_add X_b)) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP X_a X_b F X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.zero_zero X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3))))))))
% 22.01/22.26 (assume a4582 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun X_a tptp.bool)) S)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) X_2) S)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) X_2)))) (=> (forall ((T1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) T1) S)) (forall ((T2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) T2) S)) (=> (not (= (tptp.ti (tptp.fun X_a tptp.bool) T1) (tptp.ti (tptp.fun X_a tptp.bool) T2))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) T1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) T2)) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))))))))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun X_a tptp.bool) (tptp.complete_Sup_Sup (tptp.fun X_a tptp.bool)) S)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) X_b (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) X_b) (tptp.big_co1399186613setsum (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F)) S)))))))))
% 22.01/22.26 (assume a4583 (forall ((A_2 $$unsorted) (D_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.int) (tptp.big_co1399186613setsum tptp.nat tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat tptp.int)) (tptp.combb tptp.int tptp.int tptp.nat) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2)) (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.combc tptp.nat tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.nat tptp.int) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.nat) (tptp.times_times tptp.int)) (tptp.semiring_1_of_nat tptp.int))) D_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.one_one tptp.nat)))) D_1)))))))
% 22.01/22.26 (assume a4584 (forall ((K_3 $$unsorted) (K $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) K) (tptp.hAPP tptp.nat tptp.real F N_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) K_3)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.bseq tptp.real) F)))))
% 22.01/22.26 (assume a4585 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) K)))))
% 22.01/22.26 (assume a4586 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((I $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) K))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) I) K)))))))
% 22.01/22.26 (assume a4587 (forall ((U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) U_1)) U_1)))
% 22.01/22.26 (assume a4588 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) X_1) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.26 (assume a4589 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))))
% 22.01/22.26 (assume a4590 (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) S) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) K_1)))))))
% 22.01/22.26 (assume a4591 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) X_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)))))))
% 22.01/22.26 (assume a4592 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) Ma)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_lessThan X_a) N_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Ma) N_1)))))))
% 22.01/22.26 (assume a4593 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP tptp.nat X_a F N_1)))))))
% 22.01/22.26 (assume a4594 (forall ((A_2 $$unsorted) (D_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) D_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) N_1) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) A_2) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.one_one tptp.nat))) D_1)))))))
% 22.01/22.26 (assume a4595 (forall ((U_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) U_1)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) (tptp.zero_zero tptp.int)) U_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 U_1)))))))
% 22.01/22.26 (assume a4596 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((A_2 $$unsorted) (D_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2)) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.semiring_1_of_nat X_a))) D_1))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1) (tptp.one_one tptp.nat)))) D_1)))))))))
% 22.01/22.26 (assume a4597 (forall ((S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) S) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) K_1)))))))
% 22.01/22.26 (assume a4598 (forall ((N_1 $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) (tptp.hAPP tptp.nat tptp.nat Q_1 X_2)) (tptp.hAPP tptp.nat tptp.nat P_1 X_2)))) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) P_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) Q_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combs tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.minus_minus tptp.nat)) P_1)) Q_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) N_1))))))
% 22.01/22.26 (assume a4599 (forall ((X_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_lessThan tptp.real) X_1)) X_1)))
% 22.01/22.26 (assume a4600 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.metric_space X_a)) (forall ((F $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.lim X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.26 (assume a4601 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted) (F $$unsorted) (G $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (= (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) F X_2) Y_2) (tptp.hAPP (tptp.product_prod X_a X_b) X_c G (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Y_2)))) (= (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) F) (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) X_c) G)))))
% 22.01/22.26 (assume a4602 (forall ((X_a $$unsorted) (N_1 $$unsorted) (F $$unsorted) (C_1 $$unsorted) (H $$unsorted)) (=> (forall ((N_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a F N_2) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) C_1) H) N_2))) (= (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.nat (tptp.fun X_a X_a) H N_1) (tptp.hAPP tptp.nat X_a F N_1))))))
% 22.01/22.26 (assume a4603 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.image X_a X_b) F) A_3))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (not (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3))) (tptp.hAPP X_b (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb X_b (tptp.fun X_b tptp.bool) X_a) (tptp.fequal X_b)) F)) (tptp.hAPP X_a X_b F X_2)))))))))))))
% 22.01/22.26 (assume a4604 (forall ((X_a $$unsorted) (F $$unsorted) (C_1 $$unsorted) (H $$unsorted)) (=> (forall ((N_2 $$unsorted)) (= (tptp.hAPP tptp.nat X_a F N_2) (tptp.hAPP tptp.nat X_a (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a) (tptp.hAPP X_a (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun tptp.nat X_a)) (tptp.nat_rec X_a) C_1) H) N_2))) (= (tptp.hAPP tptp.nat X_a F (tptp.zero_zero tptp.nat)) (tptp.ti X_a C_1)))))
% 22.01/22.26 (assume a4605 (forall ((X_a $$unsorted) (F $$unsorted) (G $$unsorted) (Ma $$unsorted) (S $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP X_a tptp.int F X_2)) (tptp.hAPP X_a tptp.int G X_2)) Ma)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) F) S)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) G) S)) Ma)))))
% 22.01/22.26 (assume a4606 (forall ((P_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2))))) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) P_1)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)))) P_2))))))
% 22.01/22.26 (assume a4607 (forall ((X_a $$unsorted) (X_b $$unsorted) (R_3 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combc X_a (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)))) (tptp.combb (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)) X_a) (tptp.combc X_b (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)))) (tptp.combb (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) X_a) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.combb (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) X_b) (tptp.member (tptp.product_prod X_a X_b)))) (tptp.product_Pair X_a X_b)))) R_3)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combc X_a (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun X_a (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)))) (tptp.combb (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun X_b tptp.bool)) X_a) (tptp.combc X_b (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)))) (tptp.combb (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) X_a) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool))) (tptp.combb (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) X_b) (tptp.member (tptp.product_prod X_a X_b)))) (tptp.product_Pair X_a X_b)))) S))) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.product_prod X_a X_b) tptp.bool)) R_3) S)))))
% 22.01/22.26 (assume a4608 (forall ((X_a $$unsorted) (X_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) P_1) Q_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_1))))))
% 22.01/22.26 (assume a4609 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) P_1) Q_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_1))))))
% 22.01/22.26 (assume a4610 (forall ((X_a $$unsorted) (X_b $$unsorted) (S $$unsorted) (R_3 $$unsorted)) (= (forall ((X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Xa)) R_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod X_a X_b) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod X_a X_b)) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Xa)) S)))) (= (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) R_3) (tptp.ti (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) S)))))
% 22.01/22.26 (assume a4611 (forall ((X_a $$unsorted) (R_3 $$unsorted) (S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) R_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) S))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) R_3) S)))))
% 22.01/22.26 (assume a4612 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted) (P_1 $$unsorted) (Q_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_b tptp.bool))) P_1) Q_1)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 X_1) Y_1)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_1) Y_1))))))
% 22.01/22.26 (assume a4613 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 X_1) Y_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_b tptp.bool))) P_1) Q_1)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_1) Y_1))))))
% 22.01/22.26 (assume a4614 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) P_1 X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_a (tptp.fun X_b tptp.bool) Q_1 X_2) Y_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a (tptp.fun X_b tptp.bool))) P_1) Q_1)))))
% 22.01/22.26 (assume a4615 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_add X_b) (tptp.ordere779506340up_add X_b)) (forall ((F $$unsorted) (G $$unsorted) (K_3 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) K_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP X_a X_b F I_2)) (tptp.hAPP X_a X_b G I_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) K_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) K_3))))))))
% 22.01/22.26 (assume a4616 (forall ((P_5 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5))) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize P_5) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)))) (and (=> (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5) (tptp.zero_zero tptp.int)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize P_5) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.zero_zero tptp.int)) (tptp.one_one tptp.int)))) (=> (not (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5) (tptp.zero_zero tptp.int))) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize P_5) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5))))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) P_5)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) P_5))))))))))))
% 22.01/22.26 (assume a4617 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((Q_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Q_2) (tptp.ring_1_Ints X_a))) (not (forall ((Z_2 $$unsorted)) (not (= (tptp.ti X_a Q_2) (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2))))))))))
% 22.01/22.26 (assume a4618 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)) X))))
% 22.01/22.26 (assume a4619 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)) Y))))
% 22.01/22.26 (assume a4620 (forall ((N $$unsorted) (M $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) M)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4621 (forall ((X $$unsorted) (Y $$unsorted) (M $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)) M) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) M) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4622 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y))))))
% 22.01/22.26 (assume a4623 (forall ((B_5 $$unsorted) (A_6 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (=> (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_6) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (=> (= (tptp.ti tptp.int B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_6) B_5) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a4624 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) X)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Y)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) X) Y)))))
% 22.01/22.26 (assume a4625 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N))))
% 22.01/22.26 (assume a4626 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) N)) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N))))
% 22.01/22.26 (assume a4627 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N))))
% 22.01/22.26 (assume a4628 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) N) (tptp.one_one tptp.int))) N) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4629 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) N) (tptp.one_one tptp.int))) N) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4630 (forall ((E_1 $$unsorted) (B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) E_1) B)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) E_1) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a4631 (forall ((N $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) A_1) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4632 (forall ((M $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) (tptp.one_one tptp.int)) (tptp.one_one tptp.int))))
% 22.01/22.26 (assume a4633 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) Ma) N_1) (tptp.zero_zero tptp.int)) (and (= (tptp.ti tptp.int Ma) (tptp.zero_zero tptp.int)) (= (tptp.ti tptp.int N_1) (tptp.zero_zero tptp.int))))))
% 22.01/22.26 (assume a4634 (forall ((A_1 $$unsorted) (N $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) A_1) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) B) N)) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B)) N))))
% 22.01/22.26 (assume a4635 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) B) A_1))))
% 22.01/22.26 (assume a4636 (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) C)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) B) C)))))
% 22.01/22.26 (assume a4637 (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B)) C) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) B) C)))))
% 22.01/22.26 (assume a4638 (forall ((I_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) N)))))
% 22.01/22.26 (assume a4639 (forall ((I_1 $$unsorted) (M $$unsorted) (N $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) I_1) M)))))
% 22.01/22.26 (assume a4640 (forall ((N $$unsorted) (K_4 $$unsorted) (M $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) N)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N)))))))
% 22.01/22.26 (assume a4641 (forall ((K $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) Ma) N_1))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) Ma)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) N_1))))))
% 22.01/22.26 (assume a4642 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y)))))
% 22.01/22.26 (assume a4643 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y))))
% 22.01/22.26 (assume a4644 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) X) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))))
% 22.01/22.26 (assume a4645 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)))))
% 22.01/22.26 (assume a4646 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y))))
% 22.01/22.26 (assume a4647 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y))))
% 22.01/22.26 (assume a4648 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X)) Y) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y))))
% 22.01/22.26 (assume a4649 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y))))
% 22.01/22.26 (assume a4650 (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) X) Y)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X)))))
% 22.01/22.26 (assume a4651 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) Y) X)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)))))
% 22.01/22.26 (assume a4652 (forall ((K_4 $$unsorted) (M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K_4)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) N)))))
% 22.01/22.26 (assume a4653 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) Ma) N_1))) (or (not (= (tptp.ti tptp.int Ma) (tptp.zero_zero tptp.int))) (not (= (tptp.ti tptp.int N_1) (tptp.zero_zero tptp.int)))))))
% 22.01/22.26 (assume a4654 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) B) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4655 (forall ((D $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) A_1) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4656 (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) A_1) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) B) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_1) B)) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a4657 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) K_4) N) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_4) M)) N) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N)))))
% 22.01/22.26 (assume a4658 (forall ((D_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_2) B_1)) (tptp.one_one tptp.int)) (and (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D_1) A_2) (tptp.one_one tptp.int)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) D_1) B_1) (tptp.one_one tptp.int))))))
% 22.01/22.26 (assume a4659 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.zero_zero tptp.int)) X) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))))
% 22.01/22.26 (assume a4660 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))))
% 22.01/22.26 (assume a4661 (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_1) B))))
% 22.01/22.26 (assume a4662 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (or (not (= (tptp.ti tptp.int A_1) (tptp.zero_zero tptp.int))) (not (= (tptp.ti tptp.int B) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4663 (forall ((M $$unsorted) (K_4 $$unsorted) (N $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) K_4) N) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K_4) M))))))
% 22.01/22.26 (assume a4664 (forall ((Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) K) N_1) (tptp.one_one tptp.int)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) Ma) N_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) K) Ma))))))
% 22.01/22.26 (assume a4665 (forall ((N $$unsorted) (M $$unsorted) (R_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) M) R_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) N) R_4)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) M) N) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) M) N)) R_4)))))))
% 22.01/22.26 (assume a4666 (forall ((P_1 $$unsorted) (Y_1 $$unsorted) (X_1 $$unsorted)) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X_1) Y_1))))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y_1) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X_1) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y_1)))))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X_1)) Y_1))))) (=> (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_1) (tptp.zero_zero tptp.int))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Y_1) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) X_1)) (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) Y_1)))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X_1) Y_1)))))))))
% 22.01/22.26 (assume a4667 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (D_1 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) D_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) A_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) B_1)) (forall ((E $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) E) A_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) E) B_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) E) D_1))))) (= (tptp.ti tptp.int D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_2) B_1)))))
% 22.01/22.26 (assume a4668 (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)))))
% 22.01/22.26 (assume a4669 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)))))))
% 22.01/22.26 (assume a4670 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B)) B)))))
% 22.01/22.26 (assume a4671 (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) A_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B)) A_1)))))
% 22.01/22.26 (assume a4672 (forall ((B_1 $$unsorted) (C_1 $$unsorted) (A_2 $$unsorted) (D_1 $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_2) D_1) (tptp.one_one tptp.int)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) B_1) C_1) (tptp.one_one tptp.int)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_2)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) C_1)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B_1)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) D_1))) (and (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) A_2) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) B_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) C_1) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) D_1))))))))
% 22.01/22.26 (assume a4673 (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) K) L) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP tptp.bool (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.if tptp.int) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fequal tptp.int) L) (tptp.zero_zero tptp.int))) K) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) L) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) K)) (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) L))))))))
% 22.01/22.26 (assume a4674 (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.one_one tptp.int)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) X) B)) (= (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a4675 (forall ((R_4 $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of R_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) P_5) Q_3) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4676 (forall ((R_4 $$unsorted) (P_5 $$unsorted) (Q_3 $$unsorted)) (=> (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize R_4) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) P_5) Q_3) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4677 (forall ((A_2 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_2) B_1) (tptp.one_one tptp.int)) (forall ((D_3 $$unsorted)) (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) D_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_3) A_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_3) B_1))) (= (tptp.ti tptp.int D_3) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a4678 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) Y)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Y)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)))))))
% 22.01/22.26 (assume a4679 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.gcd_gcd tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) X))) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.abs_abs tptp.int) Y)))))))
% 22.01/22.26 (assume a4680 (forall ((P_5 $$unsorted) (Q_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) Q_3)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) P_5) Q_3) (tptp.one_one tptp.int)) (= (tptp.hAPP (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.normalize (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3)) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) (tptp.product_Pair tptp.int tptp.int) P_5) Q_3))))))
% 22.01/22.26 (assume a4681 (forall ((X_1 $$unsorted)) (= (tptp.hAPP tptp.rat (tptp.product_prod tptp.int tptp.int) tptp.quotient_of X_1) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int) (tptp.the (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.rat) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.rat tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.rat) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.rat tptp.bool (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.fequal tptp.rat) X_1)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.rat) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.rat)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.rat)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.rat) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.rat)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.rat)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.rat))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.rat) (tptp.product_prod tptp.int tptp.int)) tptp.fract) (tptp.product_fst tptp.int tptp.int))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.int tptp.bool (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))) (tptp.product_snd tptp.int tptp.int)))) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.gcd_gcd tptp.int)) (tptp.product_fst tptp.int tptp.int))) (tptp.product_snd tptp.int tptp.int)))) (tptp.one_one tptp.int))))))))
% 22.01/22.26 (assume a4682 (forall ((R_4 $$unsorted)) (exists ((X_2 $$unsorted)) (and (= R_4 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) X_2)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) X_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) X_2))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) X_2)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) X_2)) (tptp.one_one tptp.int)) (forall ((Y_2 $$unsorted)) (=> (and (= R_4 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) Y_2)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) Y_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) Y_2))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_fst tptp.int tptp.int) Y_2)) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) tptp.int (tptp.product_snd tptp.int tptp.int) Y_2)) (tptp.one_one tptp.int))) (= Y_2 X_2)))))))
% 22.01/22.26 (assume a4683 (forall ((Q_3 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (= Q_3 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_4) B_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_4)) (=> (not (= (tptp.ti tptp.int A_4) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_4) B_4) (tptp.one_one tptp.int))))))) (= Q_3 (tptp.zero_zero tptp.rat)))))
% 22.01/22.26 (assume a4684 (forall ((Q_3 $$unsorted)) (not (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (= Q_3 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_4) B_4)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_4)) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_4) B_4) (tptp.one_one tptp.int)))))))))
% 22.01/22.26 (assume a4685 (forall ((Q_2 $$unsorted) (P_1 $$unsorted)) (=> (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) B_4)) (=> (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_4) B_4) (tptp.one_one tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool P_1 (tptp.hAPP tptp.int tptp.rat (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.rat) tptp.fract A_4) B_4)))))) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool P_1 Q_2)))))
% 22.01/22.26 (assume a4686 (forall ((X_a $$unsorted) (F $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) A_3)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP X_a tptp.int F I_2)) X_1) (tptp.one_one tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) F) A_3)) X_1) (tptp.one_one tptp.int)))))
% 22.01/22.26 (assume a4687 (forall ((X_a $$unsorted)) (=> (tptp.ring_1 X_a) (forall ((P_1 $$unsorted) (Q_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) Q_2) (tptp.ring_1_Ints X_a))) (=> (forall ((Z_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP tptp.int X_a (tptp.ring_1_of_int X_a) Z_2)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 Q_2))))))))
% 22.01/22.26 (assume a4688 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (G $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b G X_2) (tptp.zero_zero X_b)))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) S) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) T_3))))))))))
% 22.01/22.26 (assume a4689 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (F $$unsorted) (S $$unsorted) (T_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) T_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) S) T_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.minus_minus (tptp.fun X_a tptp.bool)) T_3) S))) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) T_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) S))))))))))
% 22.01/22.26 (assume a4690 (forall ((N_1 $$unsorted) (S $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.finite_finite_1 (tptp.fun tptp.int tptp.bool)) S)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) X_2) S)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) X_2)))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun tptp.int tptp.bool)) X_2) S)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) X_2) N_1))) (= (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.nat) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat) (tptp.big_co1399186613setsum (tptp.fun tptp.int tptp.bool) tptp.nat) (tptp.finite_card tptp.int)) S) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.nat) (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) tptp.nat) (tptp.big_co1399186613setsum (tptp.fun tptp.int tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.nat) (tptp.combk tptp.nat (tptp.fun tptp.int tptp.bool)) N_1)) S)))))))
% 22.01/22.26 (assume a4691 (forall ((X_a $$unsorted) (F $$unsorted) (G $$unsorted) (Ma $$unsorted) (S $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) S)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP X_a tptp.int F X_2)) (tptp.hAPP X_a tptp.int G X_2)) Ma)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) F) S)) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) G) S)) Ma)))))
% 22.01/22.26 (assume a4692 (forall ((X_a $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.int X_a (tptp.hAPP tptp.int (tptp.fun tptp.int X_a) (tptp.frac X_a) A_1) B) (tptp.hAPP (tptp.product_prod tptp.int tptp.int) X_a (tptp.abs_Frac X_a) (tptp.hAPP tptp.int (tptp.product_prod tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.product_prod tptp.int tptp.int)) tptp.norm_frac A_1) B)))))
% 22.01/22.26 (assume a4693 (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)))))))
% 22.01/22.26 (assume a4694 (forall ((X_b $$unsorted) (X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1))) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.collect X_b) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b tptp.bool)) (tptp.combb (tptp.fun X_a tptp.bool) tptp.bool X_b) (tptp.fEx X_a)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a tptp.bool))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combs X_a tptp.bool tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) P_1))) Q_1))))) (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 Y_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.collect X_b) (tptp.hAPP X_a (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.combc X_b X_a tptp.bool) Q_1) Y_2))))))))))
% 22.01/22.26 (assume a4695 (forall ((X_b $$unsorted) (X_a $$unsorted) (F $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.collect X_a) P_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool) (tptp.collect X_b) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b tptp.bool)) (tptp.combb (tptp.fun X_a tptp.bool) tptp.bool X_b) (tptp.fEx X_a)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b (tptp.fun X_a tptp.bool))) (tptp.combc X_b (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.fun X_b (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)))) (tptp.combb (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) X_b) (tptp.combs X_a tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.fun X_b (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) X_b) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj)) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun X_a tptp.bool))) (tptp.combc X_b (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool))) (tptp.fun (tptp.fun X_b (tptp.fun X_b tptp.bool)) (tptp.fun X_b (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool)))) (tptp.combb (tptp.fun X_b tptp.bool) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool)) X_b) (tptp.combb X_b tptp.bool X_a)) (tptp.fequal X_b))) F)))) P_1))))))))
% 22.01/22.26 (assume a4696 (= (tptp.field_char_0_Rats tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.collect tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.real tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.real) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combc tptp.real (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.real) (tptp.combc tptp.int (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combs tptp.int tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combc tptp.real (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))))) (tptp.combb (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) tptp.real) (tptp.combb (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool) tptp.int)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.bool)) tptp.real) (tptp.combb tptp.real tptp.bool tptp.int)) (tptp.fequal tptp.real)))) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.int tptp.real)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real))) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.int tptp.real))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real)))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int tptp.real)) tptp.int) (tptp.combb tptp.real tptp.real tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.int) (tptp.inverse_divide tptp.real)) (tptp.real_1 tptp.int)))) (tptp.real_1 tptp.int))))))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.int) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.combc tptp.int tptp.int tptp.bool) (tptp.fequal tptp.int)) (tptp.zero_zero tptp.int)))))))))
% 22.01/22.26 (assume a4697 (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))))
% 22.01/22.26 (assume a4698 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.bool) tptp.real tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) tptp.sequentially))))))
% 22.01/22.26 (assume a4699 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.comm_monoid_mult X_b) (tptp.dvd X_b)) (forall ((F $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP X_a X_b F X_2)) (tptp.hAPP X_a X_b G X_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3))))))))
% 22.01/22.26 (assume a4700 (forall ((X_a $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)) A_3)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.collect (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.fun X_a tptp.bool)) (tptp.fEx (tptp.fun X_a tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.combc (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)))) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.combs (tptp.fun X_a tptp.bool) tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.fun X_a tptp.bool)) tptp.fconj)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.combc (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool))) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)))) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun X_a tptp.bool)) (tptp.combb (tptp.fun X_a tptp.bool) tptp.bool (tptp.fun X_a tptp.bool))) (tptp.fequal (tptp.fun X_a tptp.bool)))) (tptp.uminus_uminus (tptp.fun X_a tptp.bool)))))) (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.combb (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.fun X_a tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) A_3)) (tptp.pow X_a))))))))
% 22.01/22.26 (assume a4701 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.zero_zero tptp.real)) tptp.sequentially))))))
% 22.01/22.26 (assume a4702 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.topological_space X_b) (forall ((F $$unsorted) (L $$unsorted) (A_3 $$unsorted) (A_7 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP (tptp.filter X_a) (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.ord_less_eq (tptp.filter X_a)) A_3) A_7)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) A_7)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) A_3))))))))
% 22.01/22.26 (assume a4703 (forall ((Y_3 $$unsorted) (Y_1 $$unsorted) (X_3 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) X_1) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) Y_3) Y_1) tptp.sequentially)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real X_3 N_2)) (tptp.hAPP tptp.nat tptp.real Y_3 N_2)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) Y_1)))))))
% 22.01/22.26 (assume a4704 (forall ((A_2 $$unsorted) (X_3 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) X_1) tptp.sequentially)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real X_3 N_2)) A_2))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) A_2))))))
% 22.01/22.26 (assume a4705 (forall ((A_2 $$unsorted) (X_3 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) X_1) tptp.sequentially)) (=> (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) (tptp.hAPP tptp.nat tptp.real X_3 N_2)))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_1))))))
% 22.01/22.26 (assume a4706 (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) X_1) tptp.sequentially)) (or (and (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 N_2)) X_1))) (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 M_2)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))))) (and (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (forall ((M_2 $$unsorted) (N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 N_2)) (tptp.hAPP tptp.nat tptp.real A_2 M_2)))))))))))
% 22.01/22.26 (assume a4707 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) (tptp.zero_zero X_a)) tptp.sequentially)))))))
% 22.01/22.26 (assume a4708 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.26 (assume a4709 (forall ((R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc)))) R_1) tptp.sequentially))))
% 22.01/22.26 (assume a4710 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) Y_3))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B_1))) tptp.sequentially))))))))
% 22.01/22.26 (assume a4711 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) B_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) A_2) B_1)) A_3))))))))
% 22.01/22.26 (assume a4712 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) B_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) A_2) B_1)) A_3))))))))
% 22.01/22.26 (assume a4713 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) B_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4714 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) B_1)) tptp.sequentially))))))))
% 22.01/22.27 (assume a4715 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (K $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) A_2) tptp.sequentially)))))))
% 22.01/22.27 (assume a4716 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) tptp.sequentially))))))))
% 22.01/22.27 (assume a4717 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.plus_plus X_a)) F)) B_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2) B_1)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4718 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((K $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) A_2) tptp.sequentially)))))))
% 22.01/22.27 (assume a4719 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((G $$unsorted) (F $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) L_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) G)) (tptp.zero_zero X_a)) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) G) L_2) tptp.sequentially))))))))
% 22.01/22.27 (assume a4720 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((F $$unsorted) (G $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) G) L_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) G)) (tptp.zero_zero X_a)) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) L_2) tptp.sequentially))))))))
% 22.01/22.27 (assume a4721 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) Y_1)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4722 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) X_3)) (tptp.zero_zero tptp.real)) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) (tptp.zero_zero X_a)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4723 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (=> (not (= (tptp.ti X_a B_1) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) B_1)) tptp.sequentially)))))))))
% 22.01/22.27 (assume a4724 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_field X_b) (forall ((G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) B_1) A_3)) (=> (not (= (tptp.ti X_b B_1) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.inverse_divide X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.inverse_divide X_b) A_2) B_1)) A_3)))))))))
% 22.01/22.27 (assume a4725 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) A_3)))))))
% 22.01/22.27 (assume a4726 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) A_3)))))))
% 22.01/22.27 (assume a4727 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) A_3)))))))
% 22.01/22.27 (assume a4728 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_field X_b) (forall ((Y_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.inverse_divide X_b)) G)) Y_1)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.inverse_divide X_b) A_2) Y_1)) A_3)))))))
% 22.01/22.27 (assume a4729 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.metric_space X_b) (forall ((G $$unsorted) (Ma $$unsorted) (F $$unsorted) (L $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) Ma) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.real)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combs X_a X_b tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b tptp.real)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b tptp.real)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b tptp.real))) (tptp.combb X_b (tptp.fun X_b tptp.real) X_a) (tptp.dist_dist X_b)) F)) G)) (tptp.hAPP X_b tptp.real (tptp.hAPP X_b (tptp.fun X_b tptp.real) (tptp.dist_dist X_b) L) Ma)) A_3))))))))
% 22.01/22.27 (assume a4730 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.real_algebra_1 X_b) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun tptp.real X_b) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a X_b)) (tptp.combb tptp.real X_b X_a) (tptp.of_real X_b)) G)) (tptp.hAPP tptp.real X_b (tptp.of_real X_b) A_2)) A_3)))))))
% 22.01/22.27 (assume a4731 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) A_2)) A_3)))))))
% 22.01/22.27 (assume a4732 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.topological_space X_b) (forall ((K $$unsorted) (A_3 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.combk X_b X_a) K)) K) A_3))))))
% 22.01/22.27 (assume a4733 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) L) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) L) tptp.sequentially)))))))
% 22.01/22.27 (assume a4734 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) L) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) L) tptp.sequentially)))))))
% 22.01/22.27 (assume a4735 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) L) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) F) L) tptp.sequentially)))))))
% 22.01/22.27 (assume a4736 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.combk X_a tptp.nat) K)) K) tptp.sequentially))))))
% 22.01/22.27 (assume a4737 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((K $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.combk X_a tptp.nat) K)) L) tptp.sequentially)) (= (tptp.ti X_a K) (tptp.ti X_a L)))))))
% 22.01/22.27 (assume a4738 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) X_3)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) A_2)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4739 (forall ((X_a $$unsorted)) (=> (and (tptp.power X_a) (tptp.real_normed_algebra X_a)) (forall ((Ma $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP tptp.nat (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb X_a (tptp.fun tptp.nat X_a) tptp.nat) (tptp.power_power X_a)) X_3)) Ma)) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) A_2) Ma)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4740 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) (tptp.of_real X_a)) X_3)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) A_2)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4741 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4742 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.uminus_uminus X_a)) X_3)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) A_2)) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)))))))
% 22.01/22.27 (assume a4743 (forall ((F $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) F) L) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) L)) tptp.sequentially)))))
% 22.01/22.27 (assume a4744 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) F)) (tptp.hAPP X_b X_b (tptp.uminus_uminus X_b) A_2)) A_3)))))))
% 22.01/22.27 (assume a4745 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) F)) (tptp.hAPP X_b X_b (tptp.uminus_uminus X_b) A_2)) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)))))))
% 22.01/22.27 (assume a4746 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_algebra X_b) (forall ((G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) B_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) A_2) B_1)) A_3))))))))
% 22.01/22.27 (assume a4747 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_algebra X_b) (forall ((Y_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) G)) Y_1)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) A_2) Y_1)) A_3)))))))
% 22.01/22.27 (assume a4748 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_algebra X_b) (forall ((X_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) X_1)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) X_1) A_2)) A_3)))))))
% 22.01/22.27 (assume a4749 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) B_1)) tptp.sequentially))))))))
% 22.01/22.27 (assume a4750 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) X_3)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) Y_1)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4751 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) X_3)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) A_2)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4752 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((L $$unsorted) (X_3 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) X_1) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) L)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) X_3) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) L))) X_1) tptp.sequentially))))))))
% 22.01/22.27 (assume a4753 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_n1866405975lgebra X_b) (forall ((F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) A_2) A_3)) (=> (not (= (tptp.ti X_b A_2) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.inverse_inverse X_b)) F)) (tptp.hAPP X_b X_b (tptp.inverse_inverse X_b) A_2)) A_3))))))))
% 22.01/22.27 (assume a4754 (forall ((F $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.abs_abs tptp.real)) F)) (tptp.zero_zero tptp.real)) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) F) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4755 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.inverse_inverse X_a)) X_3)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) tptp.sequentially))))))))
% 22.01/22.27 (assume a4756 (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc))) (tptp.zero_zero tptp.real)) tptp.sequentially)))
% 22.01/22.27 (assume a4757 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) B_1) tptp.sequentially)) (= (tptp.ti X_a A_2) (tptp.ti X_a B_1))))))))
% 22.01/22.27 (assume a4758 (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.one_one tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) A_2)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1))) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4759 (forall ((X_a $$unsorted)) (=> (tptp.real_n2089651433ebra_1 X_a) (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.zero_zero X_a)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4760 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)))))))
% 22.01/22.27 (assume a4761 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.bseq X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.inverse_inverse X_a)) X_3)))))))))
% 22.01/22.27 (assume a4762 (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) C_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) C_1))) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4763 (forall ((C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) C_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) C_1)) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4764 (forall ((R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) R_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.uminus_uminus tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc))))) R_1) tptp.sequentially))))
% 22.01/22.27 (assume a4765 (forall ((Sa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) Sa)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.nat tptp.real)) (tptp.combc tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) tptp.powr) (tptp.real_1 tptp.nat))) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) Sa))) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4766 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.lim X_a) X_3) (tptp.ti X_a L_2)))))))
% 22.01/22.27 (assume a4767 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.lim X_a) X_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.the X_a) (tptp.hAPP (tptp.filter tptp.nat) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.fun (tptp.filter tptp.nat) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4768 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.topological_space X_a)) (forall ((F $$unsorted) (Sa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) F) Sa)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)))) Sa) tptp.sequentially)))))))
% 22.01/22.27 (assume a4769 (forall ((X_a $$unsorted)) (=> (and (tptp.comm_monoid_add X_a) (tptp.t2_space X_a)) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) F)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combb (tptp.fun tptp.nat tptp.bool) X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)))) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) F)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4770 (forall ((R_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.uminus_uminus tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) tptp.suc)))))) R_1) tptp.sequentially))))
% 22.01/22.27 (assume a4771 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)))))))
% 22.01/22.27 (assume a4772 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) X_1)) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) (tptp.one_one tptp.real))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat)))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.times_times tptp.nat)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4773 (= (tptp.field_char_0_Rats tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.collect tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.real tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.real) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int tptp.bool) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.nat tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.nat))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.combc tptp.real (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) tptp.real) (tptp.combc tptp.int (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) tptp.int) (tptp.combs tptp.nat tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.combc tptp.real (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool)))) (tptp.fun (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))))) (tptp.combb (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.bool))) tptp.real) (tptp.combb (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool) tptp.int)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.real tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.bool)) tptp.real) (tptp.combb tptp.real tptp.bool tptp.nat)) (tptp.fequal tptp.real)))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.int (tptp.fun tptp.nat tptp.real))) (tptp.combc tptp.int (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real))) (tptp.hAPP (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)))) (tptp.combb (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) tptp.int) (tptp.combb tptp.real tptp.real tptp.nat)) (tptp.hAPP (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.int tptp.real) (tptp.fun tptp.int (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.int) (tptp.inverse_divide tptp.real)) (tptp.real_1 tptp.int)))) (tptp.real_1 tptp.nat))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.nat) tptp.fNot) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.fequal tptp.nat)) (tptp.zero_zero tptp.nat)))))))))
% 22.01/22.27 (assume a4774 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.bool) tptp.real tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) tptp.sequentially))))))
% 22.01/22.27 (assume a4775 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.bool) tptp.real tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.nat) tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.nat))))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) tptp.sequentially)))))))
% 22.01/22.27 (assume a4776 (forall ((N_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1)) (tptp.one_one tptp.nat)))))))))))
% 22.01/22.27 (assume a4777 (forall ((X_a $$unsorted) (G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (Net $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) A_2) Net)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) B_1) Net)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.complex) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.real tptp.complex)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.complex)) (tptp.combs X_a tptp.real tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun tptp.real tptp.complex)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.complex)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun tptp.real tptp.complex))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.complex) X_a) tptp.complex_1) F)) G)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_2) B_1)) Net))))))
% 22.01/22.27 (assume a4778 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.complex) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.complex)) (tptp.combb tptp.complex tptp.complex tptp.nat) tptp.cnj) X_3)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj A_2)) tptp.sequentially)))))
% 22.01/22.27 (assume a4779 (forall ((X_a $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex)) (tptp.combb tptp.complex tptp.complex X_a) tptp.cnj) G)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj A_2)) A_3)))))
% 22.01/22.27 (assume a4780 (forall ((X_a $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.im) G)) (tptp.hAPP tptp.complex tptp.real tptp.im A_2)) A_3)))))
% 22.01/22.27 (assume a4781 (forall ((X_a $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.re) G)) (tptp.hAPP tptp.complex tptp.real tptp.re A_2)) A_3)))))
% 22.01/22.27 (assume a4782 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP (tptp.filter X_a) (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.ord_less (tptp.filter X_a)) A_3) B_2)) (and (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP (tptp.filter X_a) (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.ord_less_eq (tptp.filter X_a)) A_3) B_2)) (not (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP (tptp.filter X_a) (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.ord_less_eq (tptp.filter X_a)) B_2) A_3)))))))
% 22.01/22.27 (assume a4783 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.complex) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.re) X_3)) (tptp.hAPP tptp.complex tptp.real tptp.re A_2)) tptp.sequentially)))))
% 22.01/22.27 (assume a4784 (forall ((X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.complex) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.complex tptp.real tptp.nat) tptp.im) X_3)) (tptp.hAPP tptp.complex tptp.real tptp.im A_2)) tptp.sequentially)))))
% 22.01/22.27 (assume a4785 (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.complex) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.complex)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.complex)) (tptp.combs tptp.nat tptp.real tptp.complex) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.complex)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.complex)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.complex))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.complex) tptp.nat) tptp.complex_1) X_3)) Y_3)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_2) B_1)) tptp.sequentially))))))
% 22.01/22.27 (assume a4786 (forall ((P_1 $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) B_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.minus_minus tptp.real)) (tptp.hAPP (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.product_prod tptp.real tptp.real) tptp.real tptp.nat) (tptp.product_fst tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1)))) (tptp.hAPP (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.product_prod tptp.real tptp.real) tptp.real tptp.nat) (tptp.product_snd tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1)))) (tptp.zero_zero tptp.real)) tptp.sequentially)) (exists ((L_3 $$unsorted)) (and (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_fst tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))) L_3))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.product_prod tptp.real tptp.real) tptp.real tptp.nat) (tptp.product_fst tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1))) L_3) tptp.sequentially)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) L_3) (tptp.hAPP (tptp.product_prod tptp.real tptp.real) tptp.real (tptp.product_snd tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.product_prod tptp.real tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1) N_2))))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.product_prod tptp.real tptp.real) tptp.real tptp.nat) (tptp.product_snd tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.real tptp.real) tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.real (tptp.fun tptp.nat (tptp.product_prod tptp.real tptp.real)))) tptp.bolzano_bisect P_1) A_2) B_1))) L_3) tptp.sequentially))))))))))
% 22.01/22.27 (assume a4787 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat tptp.real)) (tptp.combb (tptp.fun tptp.nat tptp.bool) tptp.real tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) tptp.sequentially)))))))
% 22.01/22.27 (assume a4788 (forall ((N_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)))))))))
% 22.01/22.27 (assume a4789 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((No $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) No)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2)) R_2)))))))))))))
% 22.01/22.27 (assume a4790 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2))) R_2))))))))))))
% 22.01/22.27 (assume a4791 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_1)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2))) R_1)))))))))))
% 22.01/22.27 (assume a4792 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2)) R_2))))))))))))
% 22.01/22.27 (assume a4793 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_1)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2)) R_1)))))))))))
% 22.01/22.27 (assume a4794 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.zero_zero tptp.nat))) (tptp.zero_zero tptp.real))) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_atLeastAtMost tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_2)) (tptp.one_one tptp.nat))))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_2))))))))))))
% 22.01/22.27 (assume a4795 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.monoseq tptp.real) A_2)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.zero_zero tptp.nat)))) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_atLeastAtMost tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_2)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.real (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.real) (tptp.big_co1399186613setsum tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.times_times tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) N_2)) (tptp.one_one tptp.nat)))))))))))))
% 22.01/22.27 (assume a4796 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) C_1) D_1))) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)))))))))
% 22.01/22.27 (assume a4797 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) Y_1) X_1)) (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.complete_Sup_Sup tptp.real) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_atLeastAtMost tptp.real) Y_1) X_1)) X_1))))
% 22.01/22.27 (assume a4798 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.image X_a X_a) (tptp.uminus_uminus X_a)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) X_1) Y_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y_1)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X_1)))))))
% 22.01/22.27 (assume a4799 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) C_1) D_1))) (and (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) D_1))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) D_1))))))))
% 22.01/22.27 (assume a4800 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) C_1) D_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)))))))))
% 22.01/22.27 (assume a4801 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastLessThan X_a) C_1) D_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_2) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B_1) D_1)))))))))
% 22.01/22.27 (assume a4802 (forall ((X_a $$unsorted)) (=> (tptp.dense_linorder X_a) (forall ((A_2 $$unsorted) (B_1 $$unsorted) (C_1 $$unsorted) (D_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_gr676655987ssThan X_a) A_2) B_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP X_a (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.ord_atLeastAtMost X_a) C_1) D_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_2) B_1)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) C_1) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B_1) D_1)))))))))
% 22.01/22.27 (assume a4803 (forall ((A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) A_2) (tptp.zero_zero tptp.real)) tptp.sequentially)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real A_2 (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))) (tptp.hAPP tptp.nat tptp.real A_2 N_2)))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combs tptp.nat tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.nat) (tptp.times_times tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.nat tptp.real) (tptp.power_power tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)))) A_2))))))))
% 22.01/22.27 (assume a4804 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted) (C_1 $$unsorted) (K_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.diffs X_a) C_1)))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) K_3)))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) K_3))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) X_a) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a X_a)) (tptp.combb (tptp.fun tptp.nat X_a) X_a X_a) (tptp.suminf X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) C_1))) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combc X_a (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) X_a) (tptp.combs tptp.nat X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a)))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a))) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combs X_a X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun X_a (tptp.fun tptp.nat X_a)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) X_a) (tptp.combc tptp.nat X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a)))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.inverse_divide X_a))) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combc X_a (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun X_a (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) X_a) (tptp.combs tptp.nat X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun X_a (tptp.fun tptp.nat (tptp.fun X_a X_a)))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a))) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun tptp.nat X_a))) (tptp.combb X_a (tptp.fun tptp.nat X_a) X_a) (tptp.power_power X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))) (tptp.combi X_a))))) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.semiring_1_of_nat X_a))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.minus_minus tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))))))))) (tptp.zero_zero X_a)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a))))))))))
% 22.01/22.27 (assume a4805 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) L) U_1)))))
% 22.01/22.27 (assume a4806 (forall ((L $$unsorted) (U_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) L) U_1)))))
% 22.01/22.27 (assume a4807 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) X_1) Y_1))))))
% 22.01/22.27 (assume a4808 (forall ((P_1 $$unsorted) (N_1 $$unsorted)) (= (forall ((M_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 M_2)))) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X_2)))))))
% 22.01/22.27 (assume a4809 (forall ((P_1 $$unsorted) (N_1 $$unsorted)) (= (exists ((M_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) M_2) N_1)) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 M_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) X_2) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)) N_1))) (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool P_1 X_2)))))))
% 22.01/22.27 (assume a4810 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Ma)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1))))))
% 22.01/22.27 (assume a4811 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) I) J)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc I)) (tptp.hAPP tptp.nat tptp.nat tptp.suc J)))))
% 22.01/22.27 (assume a4812 (forall ((K $$unsorted) (I $$unsorted) (J $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) I) J)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) I) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) J) K)))))
% 22.01/22.27 (assume a4813 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co302546470etprod tptp.nat tptp.nat) (tptp.combi tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.one_one tptp.nat)) N_1)))))
% 22.01/22.27 (assume a4814 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) L) (tptp.hAPP tptp.nat tptp.nat tptp.suc U_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) L) U_1))))
% 22.01/22.27 (assume a4815 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (K $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) Ma) K)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) K))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) K))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1)))))))
% 22.01/22.27 (assume a4816 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1)))))))
% 22.01/22.27 (assume a4817 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((K_3 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))) (=> (= (tptp.ti X_b K_3) (tptp.ti X_b L_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) K_3) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1)))))))))
% 22.01/22.27 (assume a4818 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.metric_space X_b) (tptp.real_n2089651433ebra_1 X_a)) (forall ((M_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) M_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (= (tptp.ti X_b L_2) (tptp.ti X_b M_1))))))))
% 22.01/22.27 (assume a4819 (forall ((X_a $$unsorted)) (=> (tptp.real_n1866405975lgebra X_a) (forall ((A_2 $$unsorted)) (=> (not (= (tptp.ti X_a A_2) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.inverse_inverse X_a)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4820 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((G $$unsorted) (M_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) M_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) L_2) M_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4821 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((Y_1 $$unsorted) (G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) G)) Y_1)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) L) Y_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4822 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((X_1 $$unsorted) (G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) X_1)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) X_1) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4823 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.times_times X_a)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_2) Y_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))
% 22.01/22.27 (assume a4824 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1) A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))
% 22.01/22.27 (assume a4825 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real)) (tptp.combb tptp.real tptp.real X_a) (tptp.abs_abs tptp.real)) F)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4826 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) F)) (tptp.hAPP X_b X_b (tptp.uminus_uminus X_b) L_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4827 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real X_a) (tptp.of_real X_a)) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) A_2)) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) A_2)))))))
% 22.01/22.27 (assume a4828 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.power X_b) (tptp.real_normed_algebra X_b)) (forall ((N_1 $$unsorted) (F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP tptp.nat (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.combc X_a tptp.nat X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun tptp.nat X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun tptp.nat X_b))) (tptp.combb X_b (tptp.fun tptp.nat X_b) X_a) (tptp.power_power X_b)) F)) N_1)) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_b (tptp.fun tptp.nat X_b) (tptp.power_power X_b) L) N_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4829 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.metric_space X_b) (tptp.real_n2089651433ebra_1 X_a)) (forall ((K $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.combk X_b X_a) K)) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (= (tptp.ti X_b K) (tptp.ti X_b L_2)))))))
% 22.01/22.27 (assume a4830 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted)) (=> (and (tptp.topological_space X_c) (tptp.topological_space X_b) (tptp.topological_space X_a)) (forall ((F $$unsorted) (A_2 $$unsorted) (G $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.hAPP X_a X_b G L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) L))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_c) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_c) tptp.bool) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_c) tptp.bool)) (tptp.tendsto X_c X_a) F) L) (tptp.hAPP X_c (tptp.filter X_c) (tptp.at X_c) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_c) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_c) tptp.bool) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_c) tptp.bool)) (tptp.tendsto X_c X_b) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun X_c X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_b)) (tptp.combb X_a X_b X_c) G) F)) (tptp.hAPP X_a X_b G L)) (tptp.hAPP X_c (tptp.filter X_c) (tptp.at X_c) A_2)))))))))
% 22.01/22.27 (assume a4831 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.real_n2089651433ebra_1 X_b) (tptp.metric_space X_a)) (forall ((A_2 $$unsorted) (K $$unsorted) (L_2 $$unsorted)) (=> (not (= (tptp.ti X_a K) (tptp.ti X_a L_2))) (not (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) K)) L_2) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) A_2)))))))))
% 22.01/22.27 (assume a4832 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.combi X_a)) A_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))
% 22.01/22.27 (assume a4833 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((K $$unsorted) (X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.combk X_b X_a) K)) K) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1)))))))
% 22.01/22.27 (assume a4834 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.real_n2089651433ebra_1 X_b) (tptp.zero X_a) (tptp.metric_space X_a)) (forall ((A_2 $$unsorted) (K $$unsorted)) (=> (not (= (tptp.ti X_a K) (tptp.zero_zero X_a))) (not (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) K)) (tptp.zero_zero X_a)) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) A_2)))))))))
% 22.01/22.27 (assume a4835 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_field X_b)) (forall ((Y_1 $$unsorted) (G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.inverse_divide X_b)) G)) Y_1)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.inverse_divide X_b) L) Y_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4836 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.inverse_divide X_a)) Y_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) A_2) Y_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))
% 22.01/22.27 (assume a4837 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (M_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) M_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) L_2) M_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4838 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (Ma $$unsorted) (F $$unsorted) (L $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) Ma) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) L) Ma)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1)))))))))
% 22.01/22.27 (assume a4839 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex)) (tptp.combb tptp.complex tptp.complex X_a) tptp.cnj) G)) (tptp.hAPP tptp.complex tptp.complex tptp.cnj L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4840 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.complex) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.complex) tptp.bool) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.complex) tptp.bool)) (tptp.tendsto tptp.complex tptp.real) tptp.re) (tptp.hAPP tptp.complex tptp.real tptp.re A_2)) (tptp.hAPP tptp.complex (tptp.filter tptp.complex) (tptp.at tptp.complex) A_2)))))
% 22.01/22.27 (assume a4841 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.complex) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.complex) tptp.bool) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.complex) tptp.bool)) (tptp.tendsto tptp.complex tptp.real) tptp.im) (tptp.hAPP tptp.complex tptp.real tptp.im A_2)) (tptp.hAPP tptp.complex (tptp.filter tptp.complex) (tptp.at tptp.complex) A_2)))))
% 22.01/22.27 (assume a4842 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.complex) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter tptp.complex) tptp.bool) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter tptp.complex) tptp.bool)) (tptp.tendsto tptp.complex tptp.complex) tptp.cnj) (tptp.hAPP tptp.complex tptp.complex tptp.cnj A_2)) (tptp.hAPP tptp.complex (tptp.filter tptp.complex) (tptp.at tptp.complex) A_2)))))
% 22.01/22.27 (assume a4843 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) L) U_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc U_1)) L))))
% 22.01/22.27 (assume a4844 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastLessThan tptp.int) L) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) U_1) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) L) U_1))))
% 22.01/22.27 (assume a4845 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) C_1)) F)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4846 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((X_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.times_times X_b) X_1)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4847 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) C_1)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4848 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((Y_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) G)) Y_1)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4849 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.real_normed_algebra X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4850 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.hAPP X_a X_b F A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_b)) (tptp.combb X_a X_b X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2))) (tptp.hAPP X_a X_b F A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))
% 22.01/22.27 (assume a4851 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4852 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_b)) (tptp.combb X_a X_b X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2))) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))
% 22.01/22.27 (assume a4853 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((F $$unsorted) (A_2 $$unsorted) (L_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_b)) (tptp.combb X_a X_b X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2))) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4854 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) L)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4855 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) L)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4856 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) L)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4857 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((K $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_b)) (tptp.combb X_a X_b X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.plus_plus X_a)) K))) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) A_2) K)))))))))
% 22.01/22.27 (assume a4858 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_field X_b)) (forall ((Y_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.inverse_divide X_b)) G)) Y_1)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4859 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (Ma $$unsorted) (F $$unsorted) (L $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) Ma) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) G))) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.plus_plus X_b) L) (tptp.hAPP X_b X_b (tptp.uminus_uminus X_b) Ma))) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1)))))))))
% 22.01/22.27 (assume a4860 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_n1866405975lgebra X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (not (= (tptp.ti X_b L_2) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.inverse_inverse X_b)) F)) (tptp.hAPP X_b X_b (tptp.inverse_inverse X_b) L_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4861 (forall ((K $$unsorted) (F $$unsorted)) (=> (= (tptp.hAPP tptp.nat tptp.nat F (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.nat)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.zero_zero tptp.nat))) K)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co1399186613setsum tptp.nat tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)) K))))))
% 22.01/22.27 (assume a4862 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (not (= (tptp.ti X_b L) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.sgn_sgn X_b)) F)) (tptp.hAPP X_b X_b (tptp.sgn_sgn X_b) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4863 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4864 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real)) (tptp.combb tptp.real tptp.real X_a) (tptp.abs_abs tptp.real)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4865 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real)) (tptp.combb tptp.real tptp.real X_a) (tptp.abs_abs tptp.real)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4866 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real)) (tptp.combb tptp.real tptp.real X_a) (tptp.abs_abs tptp.real)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4867 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_algebra_1 X_b) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun tptp.real X_b) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a X_b)) (tptp.combb tptp.real X_b X_a) (tptp.of_real X_b)) G)) (tptp.hAPP tptp.real X_b (tptp.of_real X_b) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4868 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.re) G)) (tptp.hAPP tptp.complex tptp.real tptp.re L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4869 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.im) G)) (tptp.hAPP tptp.complex tptp.real tptp.im L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4870 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a F Ma)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc Ma)) N_1)))))))))
% 22.01/22.27 (assume a4871 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) (tptp.zero_zero tptp.complex)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex) (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.complex)) (tptp.combb tptp.complex tptp.complex X_a) tptp.cnj) G)) (tptp.zero_zero tptp.complex)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4872 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.real_normed_vector X_b)) (forall ((L $$unsorted) (F $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) G))) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4873 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) F)) (tptp.hAPP X_a X_a F X_1)))) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.minus_minus X_a)) X_1))) D_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) X_1))))))))
% 22.01/22.27 (assume a4874 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.topological_space X_b) (tptp.topological_space X_c)) (forall ((G $$unsorted) (C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) B_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) G) C_1) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) B_1))) (=> (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) D_3))) (not (= (tptp.hAPP X_a X_b F X_2) (tptp.ti X_b B_1))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) G) F)) C_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a4875 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.zero_zero X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1))) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))))))))))
% 22.01/22.27 (assume a4876 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (P_4 $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) (tptp.one_one tptp.nat)))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) P_4))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) (tptp.one_one tptp.nat))) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) P_4))))))))))
% 22.01/22.27 (assume a4877 (forall ((L $$unsorted) (U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.nat (tptp.finite_card tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) L) U_1)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) U_1) L)) (tptp.one_one tptp.int))))))
% 22.01/22.27 (assume a4878 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted) (Ma $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.zero_zero X_a))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a F Ma)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) tptp.suc)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1))))))))))
% 22.01/22.27 (assume a4879 (forall ((X_a $$unsorted)) (=> (and (tptp.inverse X_a) (tptp.real_normed_vector X_a)) (forall ((F $$unsorted) (A_2 $$unsorted) (D_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) A_2)))) (tptp.hAPP X_a X_a F A_2)))) (tptp.combi X_a))) D_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) F)) (tptp.hAPP X_a X_a F A_2)))) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.minus_minus X_a)) A_2))) D_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4880 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b) (tptp.topological_space X_c)) (forall ((G $$unsorted) (C_1 $$unsorted) (F $$unsorted) (B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) B_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) G) C_1) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) B_1))) (=> (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) D_3))) (not (= (tptp.hAPP X_a X_b F X_2) (tptp.ti X_b B_1))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) G) F)) C_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a4881 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4882 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4883 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4884 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_1) Ma)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.div_div tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) Ma)) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.big_co302546470etprod tptp.nat tptp.nat) (tptp.combi tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) (tptp.one_one tptp.nat))) Ma))))))
% 22.01/22.27 (assume a4885 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_algebra_1 X_b) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun tptp.real X_b) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a X_b)) (tptp.combb tptp.real X_b X_a) (tptp.of_real X_b)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4886 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) N_1)) (= (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) N_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) N_1))))))
% 22.01/22.27 (assume a4887 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) (tptp.zero_zero tptp.complex)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.re) G)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4888 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun tptp.complex (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.complex) G) (tptp.zero_zero tptp.complex)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun (tptp.fun X_a tptp.complex) (tptp.fun X_a tptp.real)) (tptp.combb tptp.complex tptp.real X_a) tptp.im) G)) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4889 (forall ((X_a $$unsorted)) (=> (tptp.comm_semiring_1 X_a) (forall ((N_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.one_one X_a)) (tptp.one_one X_a))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.semiring_1_of_nat X_a)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.one_one tptp.nat)) N_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP tptp.nat X_a (tptp.semiring_1_of_nat X_a) N_1)) (tptp.one_one X_a))))))))
% 22.01/22.27 (assume a4890 (forall ((X_a $$unsorted)) (=> (tptp.ab_group_add X_a) (forall ((F $$unsorted) (Ma $$unsorted) (N_1 $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.one_one tptp.nat))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a F Ma)) (tptp.hAPP tptp.nat X_a F (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) N_1) (tptp.one_one tptp.nat)))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) Ma) N_1))) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.minus_minus X_a)) F)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) F) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.plus_plus tptp.nat)) (tptp.one_one tptp.nat))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) Ma) N_1)) (tptp.zero_zero X_a))))))))
% 22.01/22.27 (assume a4891 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1)))) (tptp.hAPP X_a X_a F X_1)))) (tptp.combi X_a))) D_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))
% 22.01/22.27 (assume a4892 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combs X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.inverse_divide X_a)) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) X_a) (tptp.minus_minus X_a)) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_a)) (tptp.combb X_a X_a X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1)))) (tptp.hAPP X_a X_a F X_1)))) (tptp.combi X_a))) D_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))
% 22.01/22.27 (assume a4893 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_algebra X_a) (tptp.banach X_a)) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) B_1))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) A_2)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) B_1)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) tptp.nat) (tptp.big_co1399186613setsum tptp.nat X_a)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) A_2))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) B_1)) (tptp.minus_minus tptp.nat))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)))))))))))
% 22.01/22.27 (assume a4894 (forall ((X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((F $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) X_a (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) X_a) (tptp.fun (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) X_a) (tptp.big_co1399186613setsum (tptp.product_prod tptp.nat tptp.nat) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) X_a) (tptp.product_prod_case tptp.nat tptp.nat X_a) F)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.collect (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod_case tptp.nat tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combc tptp.nat tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.combc tptp.nat tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.ord_less tptp.nat))) (tptp.plus_plus tptp.nat)))) N_1)))) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) tptp.nat) (tptp.big_co1399186613setsum tptp.nat X_a)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat tptp.nat X_a) F)) (tptp.minus_minus tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastLessThan tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))))
% 22.01/22.27 (assume a4895 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_algebra X_a) (tptp.banach X_a)) (forall ((B_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) B_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) tptp.nat) (tptp.big_co1399186613setsum tptp.nat X_a)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) A_2))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat X_a))) (tptp.combb (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) B_1)) (tptp.minus_minus tptp.nat))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) A_2)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) B_1))))))))))
% 22.01/22.27 (assume a4896 (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real)) (tptp.combs tptp.real tptp.real tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.real)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.real))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.real) tptp.real) (tptp.inverse_divide tptp.real)) tptp.cos)) tptp.sin)) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.inverse_divide tptp.real) tptp.pi) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))
% 22.01/22.27 (assume a4897 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_b)) (forall ((G $$unsorted) (F $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) F)) (=> (forall ((H_1 $$unsorted) (N_2 $$unsorted)) (=> (not (= (tptp.ti X_a H_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) H_1)) K)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP tptp.nat X_b (tptp.hAPP X_a (tptp.fun tptp.nat X_b) G H_1) N_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) H_1))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat X_b) X_b) (tptp.fun (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun X_a X_b)) (tptp.combb (tptp.fun tptp.nat X_b) X_b X_a) (tptp.suminf X_b)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))))
% 22.01/22.27 (assume a4898 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (K_3 $$unsorted) (K $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K)) (=> (forall ((H_1 $$unsorted)) (=> (not (= (tptp.ti X_a H_1) (tptp.zero_zero X_a))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) H_1)) K)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_a X_b F H_1))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) K_3) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) H_1))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a))))))))))
% 22.01/22.27 (assume a4899 (forall ((F $$unsorted) (L $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real tptp.real) F) L) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) C_1))) (=> (not (= L (tptp.zero_zero tptp.real))) (exists ((R_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (forall ((X_2 $$unsorted)) (=> (and (not (= X_2 C_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) C_1) X_2))) R_2))) (not (= (tptp.hAPP tptp.real tptp.real F X_2) (tptp.zero_zero tptp.real)))))))))))
% 22.01/22.27 (assume a4900 (forall ((F $$unsorted) (L $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real tptp.real) F) L) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) C_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) L)) (exists ((R_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (forall ((X_2 $$unsorted)) (=> (and (not (= X_2 C_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) C_1) X_2))) R_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real F X_2)))))))))))
% 22.01/22.27 (assume a4901 (forall ((F $$unsorted) (L $$unsorted) (C_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real tptp.real) F) L) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) C_1))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) L) (tptp.zero_zero tptp.real))) (exists ((R_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (forall ((X_2 $$unsorted)) (=> (and (not (= X_2 C_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) C_1) X_2))) R_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F X_2)) (tptp.zero_zero tptp.real)))))))))))
% 22.01/22.27 (assume a4902 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Ta) (tptp.one_one tptp.int))) A_3)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_2) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)) Ta)))))))))
% 22.01/22.27 (assume a4903 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Ta) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Ta) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)))))))))
% 22.01/22.27 (assume a4904 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) X_2) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2)) Ta))))))))
% 22.01/22.27 (assume a4905 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Ta) (tptp.one_one tptp.int))) B_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Ta) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) Ta) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2))))))))))
% 22.01/22.27 (assume a4906 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (= (forall ((S_2 $$unsorted)) (=> (and (forall ((N_2 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.real S_2 N_2) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) S_2) A_2) tptp.sequentially))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) X_3) S_2)) L_2) tptp.sequentially)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real X_a) X_3) L_2) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) A_2))))))))
% 22.01/22.27 (assume a4907 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Ta) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Ta) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)))))))))
% 22.01/22.27 (assume a4908 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2)) Ta))))))))
% 22.01/22.27 (assume a4909 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Ta) (tptp.one_one tptp.int))) B_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (= (tptp.ti tptp.int X_2) (tptp.ti tptp.int Ta)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2) (tptp.ti tptp.int Ta)))))))))
% 22.01/22.27 (assume a4910 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Ta) (tptp.one_one tptp.int))) A_3)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (= (tptp.ti tptp.int X_2) (tptp.ti tptp.int Ta)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2) (tptp.ti tptp.int Ta)))))))))
% 22.01/22.27 (assume a4911 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Ta) A_3)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (not (= (tptp.ti tptp.int X_2) (tptp.ti tptp.int Ta))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2) (tptp.ti tptp.int Ta))))))))))
% 22.01/22.27 (assume a4912 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Ta) B_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (not (= (tptp.ti tptp.int X_2) (tptp.ti tptp.int Ta))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2) (tptp.ti tptp.int Ta))))))))))
% 22.01/22.27 (assume a4913 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Ta) A_3)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) Ta)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)) Ta)))))))))
% 22.01/22.27 (assume a4914 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Ta) B_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Ta) X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Ta) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2))))))))))
% 22.01/22.27 (assume a4915 (forall ((P_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_1)) (=> (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_1) D_1)))))) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X1))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_1))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)))))))))
% 22.01/22.27 (assume a4916 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b F X_2)) L_2))) R_2)))))))))))))
% 22.01/22.27 (assume a4917 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.real_normed_vector X_b)) (forall ((R_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_1)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b F X_2)) L_2))) R_1))))))))))))
% 22.01/22.27 (assume a4918 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((L $$unsorted) (F $$unsorted) (G $$unsorted) (A_2 $$unsorted) (R_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_3)) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) R_3)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a4919 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) Ta)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)) Ta))))))))))
% 22.01/22.27 (assume a4920 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) Ta)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2)) Ta))))))))))
% 22.01/22.27 (assume a4921 (forall ((Ta $$unsorted) (B_2 $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) Ta))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2)) Ta)))))))))
% 22.01/22.27 (assume a4922 (forall ((Ta $$unsorted) (A_3 $$unsorted) (D_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) D_2)) (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) Ta))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.dvd_dvd tptp.int) D_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)) Ta)))))))))
% 22.01/22.27 (assume a4923 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.metric_space X_b)) (forall ((R_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_1)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.hAPP X_b (tptp.fun X_b tptp.real) (tptp.dist_dist X_b) (tptp.hAPP X_a X_b F X_2)) L_2)) R_1))))))))))))
% 22.01/22.27 (assume a4924 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.topological_space X_b)) (forall ((L $$unsorted) (F $$unsorted) (G $$unsorted) (A_2 $$unsorted) (R_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_3)) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) R_3)) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a4925 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.metric_space X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.hAPP X_b (tptp.fun X_b tptp.real) (tptp.dist_dist X_b) (tptp.hAPP X_a X_b F X_2)) L_2)) R_2)))))))))))))
% 22.01/22.27 (assume a4926 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_c) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (Ma $$unsorted) (F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_c tptp.real (tptp.norm_norm X_c) (tptp.hAPP X_c X_c (tptp.hAPP X_c (tptp.fun X_c X_c) (tptp.minus_minus X_c) (tptp.hAPP X_a X_c G X_2)) Ma))) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b F X_2)) L)))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) G) Ma) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4927 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.metric_space X_b)) (forall ((X_3 $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) X_3) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (forall ((S_2 $$unsorted)) (=> (and (forall ((N_2 $$unsorted)) (not (= (tptp.hAPP tptp.nat X_a S_2 N_2) (tptp.ti X_a A_2)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) S_2) A_2) tptp.sequentially))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_b) (tptp.fun X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_b) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_b)) (tptp.combb X_a X_b tptp.nat) X_3) S_2)) L_2) tptp.sequentially)))))))))
% 22.01/22.27 (assume a4928 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.metric_space X_c) (tptp.metric_space X_b)) (forall ((G $$unsorted) (Ma $$unsorted) (F $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_c tptp.real (tptp.hAPP X_c (tptp.fun X_c tptp.real) (tptp.dist_dist X_c) (tptp.hAPP X_a X_c G X_2)) Ma)) (tptp.hAPP X_b tptp.real (tptp.hAPP X_b (tptp.fun X_b tptp.real) (tptp.dist_dist X_b) (tptp.hAPP X_a X_b F X_2)) L))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) G) Ma) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a4929 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (and (tptp.real_normed_algebra X_b) (tptp.comm_ring_1 X_b)) (forall ((X_3 $$unsorted) (L_2 $$unsorted) (S $$unsorted)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) N_2) S)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_b) (tptp.fun X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_b) (tptp.hAPP X_a (tptp.fun tptp.nat X_b) X_3 N_2)) (tptp.hAPP X_a X_b L_2 N_2)) tptp.sequentially)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_b) (tptp.fun X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun tptp.nat X_b) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.nat X_b)) (tptp.combc tptp.nat (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b))) (tptp.combb (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) tptp.nat) (tptp.big_co302546470etprod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.combc X_a tptp.nat X_b) X_3))) S)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) L_2) S)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4930 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((X_3 $$unsorted) (L_2 $$unsorted) (S $$unsorted)) (=> (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) N_2) S)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_b) (tptp.fun X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_b) (tptp.hAPP X_a (tptp.fun tptp.nat X_b) X_3 N_2)) (tptp.hAPP X_a X_b L_2 N_2)) tptp.sequentially)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_b) (tptp.fun X_b (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_b) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun tptp.nat X_b) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun tptp.nat X_b)) (tptp.combc tptp.nat (tptp.fun X_a tptp.bool) X_b) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b)) (tptp.fun (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.fun tptp.nat (tptp.fun (tptp.fun X_a tptp.bool) X_b))) (tptp.combb (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) tptp.nat) (tptp.big_co1399186613setsum X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.combc X_a tptp.nat X_b) X_3))) S)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) L_2) S)) tptp.sequentially)))))))
% 22.01/22.27 (assume a4931 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2))) R_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)))))))
% 22.01/22.27 (assume a4932 (forall ((X_3 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (exists ((N_3 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) N_3) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) R_2) (tptp.hAPP tptp.nat tptp.real X_3 N_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) X_3)) (tptp.zero_zero tptp.real)) tptp.sequentially)))))
% 22.01/22.27 (assume a4933 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (forall ((S_2 $$unsorted)) (=> (and (forall ((N_2 $$unsorted)) (not (= (tptp.hAPP tptp.nat tptp.real S_2 N_2) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) S_2) A_2) tptp.sequentially))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.real X_a tptp.nat) X_3) S_2)) L_2) tptp.sequentially)))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real X_a) X_3) L_2) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) A_2))))))))
% 22.01/22.27 (assume a4934 (forall ((X_a $$unsorted)) (=> (tptp.metric_space X_a) (forall ((X_3 $$unsorted) (L_2 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((No $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) No) N_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) (tptp.hAPP tptp.nat X_a X_3 N_2)) L_2)) R_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) L_2) tptp.sequentially)))))))
% 22.01/22.27 (assume a4935 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.norm_norm X_b) (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.minus_minus X_b) (tptp.hAPP X_a X_b F X_2)) L_2))) R_2)))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a4936 (forall ((X_a $$unsorted)) (=> (tptp.real_field X_a) (forall ((N_1 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.nat tptp.real (tptp.real_1 tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.fact_fact tptp.nat) N_1)))) (tptp.hAPP tptp.nat X_a (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1) Y_1)) N_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) X_a (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.bool) X_a) (tptp.big_co1399186613setsum tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb X_a (tptp.fun X_a X_a) tptp.nat) (tptp.times_times X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) (tptp.fact_fact tptp.nat)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1)))))) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat X_a)) (tptp.combb tptp.nat X_a tptp.nat) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) Y_1)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N_1))))) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)) N_1)))))))
% 22.01/22.27 (assume a4937 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) A_1)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X)))))))
% 22.01/22.27 (assume a4938 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.sums tptp.real) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1))))))))
% 22.01/22.27 (assume a4939 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) X_3) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) X_3)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1) A_2))))))))
% 22.01/22.27 (assume a4940 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) X_3))))))))
% 22.01/22.27 (assume a4941 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) X_3)) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) X_3))))))))
% 22.01/22.27 (assume a4942 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) X_3))))))))
% 22.01/22.27 (assume a4943 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) X_1))))))))
% 22.01/22.27 (assume a4944 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) B)) X))))))
% 22.01/22.27 (assume a4945 (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) A_1) X) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) A_1) X))))
% 22.01/22.27 (assume a4946 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((A_1 $$unsorted) (R_4 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))
% 22.01/22.27 (assume a4947 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra X_a) (forall ((X $$unsorted) (A_1 $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) Y)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)))))))
% 22.01/22.27 (assume a4948 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Xa_1 $$unsorted) (R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) Xa_1) X)))))))
% 22.01/22.27 (assume a4949 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra X_a) (forall ((A_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) Y) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)))))))
% 22.01/22.27 (assume a4950 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((R_4 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)))))))
% 22.01/22.27 (assume a4951 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((R_4 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X)) Y) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X) Y)))))))
% 22.01/22.27 (assume a4952 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) R_4)) X))))))
% 22.01/22.27 (assume a4953 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.im X)))))
% 22.01/22.27 (assume a4954 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.re X)))))
% 22.01/22.27 (assume a4955 (forall ((R_4 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 A_1) B)) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) A_1)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) B)))))
% 22.01/22.27 (assume a4956 (forall ((X_a $$unsorted)) (=> (and (tptp.divisi14063676e_zero X_a) (tptp.real_div_algebra X_a)) (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X)))))))
% 22.01/22.27 (assume a4957 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)) B) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)))))))
% 22.01/22.27 (assume a4958 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) A_1)) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)))))))
% 22.01/22.27 (assume a4959 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted) (Xa_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.uminus_uminus tptp.real) X)) Xa_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X) Xa_1)))))))
% 22.01/22.27 (assume a4960 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)))))))
% 22.01/22.27 (assume a4961 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) B)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)))))))
% 22.01/22.27 (assume a4962 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.re (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.re X)))))
% 22.01/22.27 (assume a4963 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.real tptp.im (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X)) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.im X)))))
% 22.01/22.27 (assume a4964 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex tptp.cnj (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X)) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) (tptp.hAPP tptp.complex tptp.complex tptp.cnj X)))))
% 22.01/22.27 (assume a4965 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) R_4) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP tptp.real X_a (tptp.of_real X_a) X)))))))
% 22.01/22.27 (assume a4966 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)))))))
% 22.01/22.27 (assume a4967 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (R_4 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)))))))
% 22.01/22.27 (assume a4968 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Ra $$unsorted) (R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) Ra) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) Ra) X)))))))
% 22.01/22.27 (assume a4969 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) R_4) A_1)) B) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)))))))
% 22.01/22.27 (assume a4970 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted) (X $$unsorted) (Xa_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.scaleR_scaleR tptp.real) R_4) X)) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X) Xa_1)))))))
% 22.01/22.27 (assume a4971 (forall ((X_a $$unsorted)) (=> (tptp.real_algebra_1 X_a) (forall ((R_4 $$unsorted)) (= (tptp.hAPP tptp.real X_a (tptp.of_real X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.one_one X_a)))))))
% 22.01/22.27 (assume a4972 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_2 $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) Y_1)) (or (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)) (= A_2 (tptp.zero_zero tptp.real))))))))
% 22.01/22.27 (assume a4973 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted) (Y $$unsorted) (A_1 $$unsorted)) (=> (not (= A_1 (tptp.zero_zero tptp.real))) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) Y)) (= (tptp.ti X_a X) (tptp.ti X_a Y))))))))
% 22.01/22.27 (assume a4974 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.27 (assume a4975 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.zero_zero X_a)) (tptp.zero_zero X_a))))))
% 22.01/22.27 (assume a4976 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_2 $$unsorted) (X_1 $$unsorted) (B_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B_1) X_1)) (or (= A_2 B_1) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.27 (assume a4977 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (not (= (tptp.ti X_a X) (tptp.zero_zero X_a))) (=> (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) X)) (= A_1 B)))))))
% 22.01/22.27 (assume a4978 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.one_one tptp.real)) X) (tptp.ti X_a X))))))
% 22.01/22.27 (assume a4979 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((R_4 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X)) Y) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.inverse_divide X_a) X) Y)))))))
% 22.01/22.27 (assume a4980 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_2 $$unsorted) (X_1 $$unsorted)) (= (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1) (tptp.zero_zero X_a)) (or (= A_2 (tptp.zero_zero tptp.real)) (= (tptp.ti X_a X_1) (tptp.zero_zero X_a))))))))
% 22.01/22.27 (assume a4981 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.zero_zero tptp.real)) X) (tptp.zero_zero X_a))))))
% 22.01/22.27 (assume a4982 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.zero_zero tptp.real)) B) (tptp.zero_zero X_a))))))
% 22.01/22.27 (assume a4983 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) B)) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) X)))))))
% 22.01/22.27 (assume a4984 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (A_6 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) A_1) A_6)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_6) B)))))))
% 22.01/22.27 (assume a4985 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted) (Y $$unsorted) (Xa_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) X) Y)) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X) Xa_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) Y) Xa_1)))))))
% 22.01/22.27 (assume a4986 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) B)) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) B) X)))))))
% 22.01/22.27 (assume a4987 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (A_6 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) A_1) A_6)) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_6) B)))))))
% 22.01/22.27 (assume a4988 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted) (Y $$unsorted) (Xa_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) Y)) Xa_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X) Xa_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) Y) Xa_1)))))))
% 22.01/22.27 (assume a4989 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (B_5 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) B) B_5)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B_5)))))))
% 22.01/22.27 (assume a4990 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) Y)))))))
% 22.01/22.27 (assume a4991 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (B_5 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) B) B_5)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B_5)))))))
% 22.01/22.27 (assume a4992 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) Y)))))))
% 22.01/22.27 (assume a4993 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.sgn_sgn tptp.real) R_4)) (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X)))))))
% 22.01/22.27 (assume a4994 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted) (Y $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) A_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) B))) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) X) A_1)) B))) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) B))))))))
% 22.01/22.27 (assume a4995 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.cauchy tptp.real) X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.cauchy X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) X_1))))))))
% 22.01/22.27 (assume a4996 (forall ((X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X))))))
% 22.01/22.27 (assume a4997 (forall ((X_a $$unsorted)) (=> (tptp.sgn_div_norm X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.sgn_sgn X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X))) X))))))
% 22.01/22.27 (assume a4998 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((G $$unsorted) (B_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) A_2) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) B_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) A_2) B_1)) A_3))))))))
% 22.01/22.27 (assume a4999 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((X_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) G)) X_1)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) A_2) X_1)) A_3)))))))
% 22.01/22.27 (assume a5000 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.real_normed_vector X_b) (forall ((R_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) A_2) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) R_1)) G)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) R_1) A_2)) A_3)))))))
% 22.01/22.27 (assume a5001 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combb X_a X_a tptp.nat) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) X_3)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1) A_2)) tptp.sequentially)))))))
% 22.01/22.27 (assume a5002 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((A_2 $$unsorted) (G $$unsorted) (A_3 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) A_3)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun (tptp.fun X_b X_a) (tptp.fun X_b X_a)) (tptp.combb X_a X_a X_b) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2)) G)) A_3))))))
% 22.01/22.27 (assume a5003 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.real_vector X_a) (forall ((G $$unsorted) (A_3 $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.real (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_b tptp.bool) tptp.real) (tptp.big_co1399186613setsum X_b tptp.real) G) A_3)) X_1) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_b X_a)) (tptp.combc X_b X_a X_a) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun X_b (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun X_b tptp.real) (tptp.fun X_b (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) X_b) (tptp.scaleR_scaleR X_a)) G)) X_1)) A_3))))))
% 22.01/22.27 (assume a5004 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_a) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1) A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))
% 22.01/22.27 (assume a5005 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.real) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.real) tptp.bool) (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.real) tptp.bool)) (tptp.tendsto tptp.real X_a) (tptp.hAPP X_a (tptp.fun tptp.real X_a) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.real X_a)) (tptp.combc tptp.real X_a X_a) (tptp.scaleR_scaleR X_a)) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1)) (tptp.hAPP tptp.real (tptp.filter tptp.real) (tptp.at tptp.real) A_2)))))))
% 22.01/22.27 (assume a5006 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((R_1 $$unsorted) (G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) R_1)) G)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) R_1) L)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5007 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((R_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) R_1)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5008 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) C_1)) F)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5009 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((X_1 $$unsorted) (G $$unsorted) (L $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) G)) X_1)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) L) X_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5010 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (M_1 $$unsorted) (F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) M_1) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) F)) G)) (tptp.hAPP X_b X_b (tptp.hAPP tptp.real (tptp.fun X_b X_b) (tptp.scaleR_scaleR X_b) L_2) M_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a5011 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((Y_3 $$unsorted) (B_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) A_2) tptp.sequentially)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) Y_3) B_1) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) Y_3)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) B_1)) tptp.sequentially))))))))
% 22.01/22.27 (assume a5012 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) X_3) A_2) tptp.sequentially)) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) X_1)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_2) X_1)) tptp.sequentially)))))))
% 22.01/22.27 (assume a5013 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) X_3)) (= (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.real (tptp.suminf tptp.real) X_3)) X_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.nat X_a)) (tptp.combc tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) X_3)) X_1))))))))
% 22.01/22.27 (assume a5014 (forall ((X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.sgn_sgn tptp.complex) X) (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) (tptp.hAPP tptp.complex tptp.real (tptp.norm_norm tptp.complex) X))) X))))
% 22.01/22.27 (assume a5015 (forall ((X_a $$unsorted)) (=> (tptp.real_div_algebra X_a) (forall ((X $$unsorted) (A_1 $$unsorted)) (=> (not (= A_1 (tptp.zero_zero tptp.real))) (=> (not (= (tptp.ti X_a X) (tptp.zero_zero X_a))) (= (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_1) X)) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) A_1)) (tptp.hAPP X_a X_a (tptp.inverse_inverse X_a) X)))))))))
% 22.01/22.27 (assume a5016 (forall ((R_4 $$unsorted) (X $$unsorted)) (= (tptp.hAPP tptp.complex tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.complex tptp.complex) (tptp.scaleR_scaleR tptp.complex) R_4) X) (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.re X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) R_4) (tptp.hAPP tptp.complex tptp.real tptp.im X))))))
% 22.01/22.27 (assume a5017 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) F)) G)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a5018 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((X_1 $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) G)) X_1)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5019 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((C_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun X_b (tptp.fun X_a X_b)) (tptp.combc X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) F)) C_1)) (tptp.zero_zero X_b)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5020 (forall ((X_a $$unsorted)) (=> (and (tptp.real_n2089651433ebra_1 X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.summable X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))))))
% 22.01/22.27 (assume a5021 (forall ((X_a $$unsorted)) (=> (and (tptp.real_n2089651433ebra_1 X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.real) tptp.bool (tptp.summable tptp.real) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat tptp.real)) (tptp.combb X_a tptp.real tptp.nat) (tptp.norm_norm X_a)) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1)))))))))
% 22.01/22.27 (assume a5022 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) X_2) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_2))))))))
% 22.01/22.27 (assume a5023 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.exp X_a) X_1) (tptp.hAPP (tptp.fun tptp.nat X_a) X_a (tptp.suminf X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))))))))
% 22.01/22.27 (assume a5024 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun X_a tptp.bool) (tptp.sums X_a) (tptp.hAPP (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat X_a) (tptp.fun tptp.nat X_a)) (tptp.combs tptp.nat X_a X_a) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat (tptp.fun X_a X_a))) (tptp.combb tptp.real (tptp.fun X_a X_a) tptp.nat) (tptp.scaleR_scaleR X_a)) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.real tptp.real tptp.nat) (tptp.inverse_inverse tptp.real)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.real)) (tptp.combb tptp.nat tptp.real tptp.nat) (tptp.real_1 tptp.nat)) (tptp.fact_fact tptp.nat))))) (tptp.hAPP X_a (tptp.fun tptp.nat X_a) (tptp.power_power X_a) X_1))) (tptp.hAPP X_a X_a (tptp.exp X_a) X_1)))))))
% 22.01/22.27 (assume a5025 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X_2) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2))))))))))
% 22.01/22.27 (assume a5026 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2)))))))))
% 22.01/22.27 (assume a5027 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2)))))))))
% 22.01/22.27 (assume a5028 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X_2) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2))))))))))
% 22.01/22.27 (assume a5029 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.27 (assume a5030 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X $$unsorted)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) X_2) X))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) X_2)) K_2)))))))))
% 22.01/22.27 (assume a5031 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (exists ((K_2 $$unsorted)) (forall ((A_4 $$unsorted) (B_4 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) A_4) B_4))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.norm_norm tptp.real) A_4)) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) B_4))) K_2))))))))
% 22.01/22.27 (assume a5032 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted)) (exists ((K_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) K_2)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2))))))))))
% 22.01/22.27 (assume a5033 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_4 $$unsorted)) (exists ((K_2 $$unsorted)) (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_4) X_2))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) X_2)) K_2)))))))))
% 22.01/22.27 (assume a5034 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((L $$unsorted) (Ma $$unsorted) (F $$unsorted) (G $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (= (tptp.ti X_a A_2) (tptp.ti X_a B_1)) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a B_1))) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2)))) (=> (= (tptp.ti X_b L) (tptp.ti X_b Ma)) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) Ma) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) B_1)))))))))))
% 22.01/22.27 (assume a5035 (forall ((X_b $$unsorted) (X_a $$unsorted) (X_c $$unsorted)) (=> (tptp.real_normed_vector X_c) (forall ((F $$unsorted) (A_2 $$unsorted) (A_3 $$unsorted) (S $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) S)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) (tptp.hAPP X_a (tptp.fun X_b X_c) F I_2)) (tptp.hAPP X_a X_c A_2 I_2)) A_3)))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b X_c)) (tptp.combc X_b (tptp.fun X_a tptp.bool) X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c))) (tptp.combb (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c) X_b) (tptp.big_co1399186613setsum X_a X_c)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.combc X_a X_b X_c) F))) S)) (tptp.hAPP (tptp.fun X_a tptp.bool) X_c (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c) (tptp.big_co1399186613setsum X_a X_c) A_2) S)) A_3)))))))
% 22.01/22.27 (assume a5036 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.metric_space X_b)) (forall ((F $$unsorted) (L_2 $$unsorted) (A_2 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) R_2)) (exists ((S_1 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) S_1)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) S_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_b tptp.real (tptp.hAPP X_b (tptp.fun X_b tptp.real) (tptp.dist_dist X_b) (tptp.hAPP X_a X_b F X_2)) L_2)) R_2)))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_2) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5037 (not (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.trivial_limit tptp.nat) tptp.sequentially))))
% 22.01/22.27 (assume a5038 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((L $$unsorted) (F $$unsorted) (G $$unsorted) (A_2 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b G X_2)))) (= (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) G) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2)))))))))
% 22.01/22.27 (assume a5039 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.t2_space X_b) (forall ((L_1 $$unsorted) (F $$unsorted) (L $$unsorted) (A_3 $$unsorted)) (=> (not (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.trivial_limit X_a) A_3))) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L) A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) L_1) A_3)) (= (tptp.ti X_b L) (tptp.ti X_b L_1)))))))))
% 22.01/22.27 (assume a5040 (= tptp.pred_nat (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.collect (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod_case tptp.nat tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.fequal tptp.nat))) tptp.suc)))))
% 22.01/22.27 (assume a5041 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((G $$unsorted) (H $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b G X_2) (tptp.hAPP X_a X_b H X_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) G) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) H) A_3))))))))
% 22.01/22.27 (assume a5042 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted) (Z $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 (tptp.hAPP (tptp.product_prod X_b X_c) X_a (tptp.hAPP (tptp.fun X_b (tptp.fun X_c X_a)) (tptp.fun (tptp.product_prod X_b X_c) X_a) (tptp.product_prod_case X_b X_c X_a) P_1) Z))) (not (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.ti (tptp.product_prod X_b X_c) Z) (tptp.hAPP X_c (tptp.product_prod X_b X_c) (tptp.hAPP X_b (tptp.fun X_c (tptp.product_prod X_b X_c)) (tptp.product_Pair X_b X_c) X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 (tptp.hAPP X_c X_a (tptp.hAPP X_b (tptp.fun X_c X_a) P_1 X_2) Y_2))))))))))
% 22.01/22.27 (assume a5043 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted) (P_4 $$unsorted) (F $$unsorted) (G $$unsorted) (Q_2 $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (= (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_2) Y_2) (tptp.ti (tptp.product_prod X_a X_b) Q_2)) (= (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) F X_2) Y_2) (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) G X_2) Y_2)))) (=> (= (tptp.ti (tptp.product_prod X_a X_b) P_4) (tptp.ti (tptp.product_prod X_a X_b) Q_2)) (= (tptp.hAPP (tptp.product_prod X_a X_b) X_c (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) F) P_4) (tptp.hAPP (tptp.product_prod X_a X_b) X_c (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.product_prod X_a X_b) X_c) (tptp.product_prod_case X_a X_b X_c) G) Q_2))))))
% 22.01/22.27 (assume a5044 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_mult X_b) (forall ((F $$unsorted) (F_1 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) F_1)) (= (tptp.hAPP X_a X_b F X_2) (tptp.one_one X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co302546470etprod X_a X_b) F) F_1) (tptp.one_one X_b)))))))
% 22.01/22.27 (assume a5045 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_semiring_1 X_b) (forall ((D_1 $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (forall ((I_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) D_1) (tptp.hAPP X_a X_b F I_2))))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.dvd_dvd X_b) D_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3))))))))
% 22.01/22.27 (assume a5046 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((G $$unsorted) (H $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b G X_2) (tptp.hAPP X_a X_b H X_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) G) A_3) (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) H) A_3))))))))
% 22.01/22.27 (assume a5047 (forall ((X_a $$unsorted) (X_b $$unsorted)) (=> (tptp.comm_monoid_add X_b) (forall ((F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (= (tptp.hAPP X_a X_b F X_2) (tptp.zero_zero X_b)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_b (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a tptp.bool) X_b) (tptp.big_co1399186613setsum X_a X_b) F) A_3) (tptp.zero_zero X_b)))))))
% 22.01/22.27 (assume a5048 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) F) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a tptp.real G X_2))))) (=> (forall ((X_2 $$unsorted)) (=> (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP X_a tptp.real G X_2)) (tptp.hAPP X_a tptp.real F X_2))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a tptp.real) G) (tptp.zero_zero tptp.real)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a5049 (forall ((A_1 $$unsorted) (B $$unsorted)) (=> (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B) (tptp.zero_zero tptp.int))) (exists ((A_5 $$unsorted) (B_3 $$unsorted)) (and (= (tptp.ti tptp.int A_1) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) A_5) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (= (tptp.ti tptp.int B) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) B_3) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_1) B))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) A_5) B_3) (tptp.one_one tptp.int)))))))
% 22.01/22.27 (assume a5050 (forall ((X_a $$unsorted) (C_1 $$unsorted) (P_1 $$unsorted)) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X1))) (=> (= (tptp.ti X_a C_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 C_1))))))
% 22.01/22.27 (assume a5051 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_mult X_a) (forall ((H $$unsorted) (G $$unsorted) (S $$unsorted) (R_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.one_one X_a)) (tptp.one_one X_a))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 X1) X2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 Y1) Y2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X1) Y1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X2) Y2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) S)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) S)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP X_b X_a H X_2)) (tptp.hAPP X_b X_a G X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) H) S)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co302546470etprod X_b X_a) G) S)))))))))))
% 22.01/22.27 (assume a5052 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.hilbert_Eps (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combc X_a (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.fun (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.fun X_a (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.fun X_b tptp.bool)) X_a) (tptp.combb tptp.bool tptp.bool X_b)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) X_a) tptp.fconj) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) X_1)))) (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.fequal X_b) Y_1)))) (tptp.hAPP X_b (tptp.product_prod X_a X_b) (tptp.hAPP X_a (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.product_Pair X_a X_b) X_1) Y_1))))
% 22.01/22.27 (assume a5053 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.hilbert_Eps (tptp.product_prod X_a X_b)) P_1) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.hilbert_Eps (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun X_a (tptp.fun X_b (tptp.product_prod X_a X_b))) (tptp.fun X_a (tptp.fun X_b tptp.bool))) (tptp.combb (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool) X_a) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.fun (tptp.fun X_b (tptp.product_prod X_a X_b)) (tptp.fun X_b tptp.bool)) (tptp.combb (tptp.product_prod X_a X_b) tptp.bool X_b) P_1)) (tptp.product_Pair X_a X_b)))))))
% 22.01/22.27 (assume a5054 (forall ((X_a $$unsorted) (X_b $$unsorted) (P_1 $$unsorted)) (= (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.hilbert_Eps (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod_case X_a X_b tptp.bool) P_1)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.product_prod X_a X_b) (tptp.hilbert_Eps (tptp.product_prod X_a X_b)) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_b) (tptp.fun (tptp.product_prod X_a X_b) tptp.bool)) (tptp.combs (tptp.product_prod X_a X_b) X_b tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod X_a X_b) X_a) (tptp.fun (tptp.product_prod X_a X_b) (tptp.fun X_b tptp.bool))) (tptp.combb X_a (tptp.fun X_b tptp.bool) (tptp.product_prod X_a X_b)) P_1) (tptp.product_fst X_a X_b))) (tptp.product_snd X_a X_b))))))
% 22.01/22.27 (assume a5055 (forall ((X_a $$unsorted) (P_3 $$unsorted) (X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_3 X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_3 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_3))))))
% 22.01/22.27 (assume a5056 (forall ((X_a $$unsorted) (P_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1))))))
% 22.01/22.27 (assume a5057 (forall ((X_a $$unsorted) (P_1 $$unsorted)) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1))))))
% 22.01/22.27 (assume a5058 (forall ((X_a $$unsorted) (P_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1))) (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X1))))))
% 22.01/22.27 (assume a5059 (forall ((X_a $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.fequal X_a)) X_1)) (tptp.ti X_a X_1))))
% 22.01/22.27 (assume a5060 (forall ((X_a $$unsorted) (X_1 $$unsorted)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) X_1)) (tptp.ti X_a X_1))))
% 22.01/22.27 (assume a5061 (forall ((X_a $$unsorted) (P_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 A_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_2)) (= (tptp.ti X_a X_2) (tptp.ti X_a A_2)))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1) (tptp.ti X_a A_2))))))
% 22.01/22.27 (assume a5062 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.strict_mono tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.combs tptp.nat tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj)) (tptp.dvd_dvd tptp.nat)))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.nat) tptp.fNot)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat))))) F)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_1) X_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F X_1)) (tptp.hAPP tptp.nat X_a F Y_1)))))))))
% 22.01/22.27 (assume a5063 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((F $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_2) Y_2)) (not (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) Y_2) X_2)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP tptp.nat X_a F X_2)) (tptp.hAPP tptp.nat X_a F Y_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.strict_mono tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.combs tptp.nat tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj)) (tptp.dvd_dvd tptp.nat)))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.nat) tptp.fNot)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat))))) F)))))))
% 22.01/22.27 (assume a5064 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.strict_mono tptp.nat X_a) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combs tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)))) (tptp.combb (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) tptp.nat) (tptp.combs tptp.nat tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool)) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.nat) tptp.fconj)) (tptp.dvd_dvd tptp.nat)))) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.combb tptp.bool tptp.bool tptp.nat) tptp.fNot)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat))))) F)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.mono tptp.nat X_a) (tptp.dvd_dvd tptp.nat)) F)))))))
% 22.01/22.27 (assume a5065 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (F $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.mono tptp.nat X_a) (tptp.dvd_dvd tptp.nat)) F)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F X_1)) (tptp.hAPP tptp.nat X_a F Y_1)))))))))
% 22.01/22.27 (assume a5066 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((F $$unsorted)) (=> (forall ((X_2 $$unsorted) (Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.dvd_dvd tptp.nat) X_2) Y_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP tptp.nat X_a F X_2)) (tptp.hAPP tptp.nat X_a F Y_2))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat X_a) tptp.bool (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat X_a) tptp.bool) (tptp.mono tptp.nat X_a) (tptp.dvd_dvd tptp.nat)) F)))))))
% 22.01/22.27 (assume a5067 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (tptp.comm_monoid_add X_a) (forall ((H $$unsorted) (G $$unsorted) (S $$unsorted) (R_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.zero_zero X_a)) (tptp.zero_zero X_a))) (=> (forall ((X1 $$unsorted) (Y1 $$unsorted) (X2 $$unsorted) (Y2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 X1) X2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 Y1) Y2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X1) Y1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X2) Y2))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) S)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.fun X_b tptp.bool) tptp.bool) (tptp.member X_b) X_2) S)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP X_b X_a H X_2)) (tptp.hAPP X_b X_a G X_2))))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) R_3 (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) H) S)) (tptp.hAPP (tptp.fun X_b tptp.bool) X_a (tptp.hAPP (tptp.fun X_b X_a) (tptp.fun (tptp.fun X_b tptp.bool) X_a) (tptp.big_co1399186613setsum X_b X_a) G) S)))))))))))
% 22.01/22.27 (assume a5068 (forall ((N_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))))))))
% 22.01/22.27 (assume a5069 (forall ((V_1 $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.zero_zero tptp.nat)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) N_1))))))
% 22.01/22.27 (assume a5070 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X_1) Y_1)) Z)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) Z))))))))
% 22.01/22.27 (assume a5071 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X_1) Y_1))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) Y_1))))))))
% 22.01/22.27 (assume a5072 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) A_1) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) X)))))))
% 22.01/22.27 (assume a5073 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) X)))))))
% 22.01/22.27 (assume a5074 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) X) (tptp.ti X_a X))))))
% 22.01/22.27 (assume a5075 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5076 (forall ((M $$unsorted) (I_1 $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) M) I_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) I_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) M) N)) I_1))))
% 22.01/22.27 (assume a5077 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5078 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) N) (tptp.zero_zero tptp.nat)) (tptp.zero_zero tptp.nat))))
% 22.01/22.27 (assume a5079 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.zero_zero tptp.nat)) N) (tptp.zero_zero tptp.nat))))
% 22.01/22.27 (assume a5080 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) M) N)))))
% 22.01/22.27 (assume a5081 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5082 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) B) C)))))))
% 22.01/22.27 (assume a5083 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Z_1)))))))
% 22.01/22.27 (assume a5084 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) B) C)))))))
% 22.01/22.27 (assume a5085 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y))))))
% 22.01/22.27 (assume a5086 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B))))))
% 22.01/22.27 (assume a5087 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) X))))))
% 22.01/22.27 (assume a5088 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) B) A_1))))))
% 22.01/22.27 (assume a5089 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.27 (assume a5090 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (A_1 $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B))) (not (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) A_1)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) B))))))))))
% 22.01/22.27 (assume a5091 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) C) D)))))))))
% 22.01/22.27 (assume a5092 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Z_1 $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Z_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1)))))))))
% 22.01/22.27 (assume a5093 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)))))))))
% 22.01/22.27 (assume a5094 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y) (tptp.ti X_a Y)))))))
% 22.01/22.27 (assume a5095 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y) (tptp.ti X_a X)))))))
% 22.01/22.27 (assume a5096 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) X)))))))
% 22.01/22.27 (assume a5097 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) A_1) B)) X)))))))
% 22.01/22.27 (assume a5098 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y_1) Z))) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Z))))))))
% 22.01/22.27 (assume a5099 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X_1) Y_1) (tptp.ti X_a X_1)))))))
% 22.01/22.27 (assume a5100 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) Y))))))
% 22.01/22.27 (assume a5101 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) X))))))
% 22.01/22.27 (assume a5102 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X_1) Y_1)) Z)) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) Z))))))))
% 22.01/22.27 (assume a5103 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.ord X_b)) (forall ((U $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.ord_min X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U))) (=> (not (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)))) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.ord_min X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))))))))
% 22.01/22.27 (assume a5104 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.nat_case tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.ord_min tptp.nat)) N_1))) Ma))))
% 22.01/22.27 (assume a5105 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.nat_case tptp.nat) (tptp.zero_zero tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_min tptp.nat) N_1))) Ma))))
% 22.01/22.27 (assume a5106 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (= (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.max X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.ord_less_eq X_a))) (tptp.ord_min X_a)))))
% 22.01/22.27 (assume a5107 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X $$unsorted) (Least $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Least) X_2))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Least) (tptp.ti X_a Least)))))))
% 22.01/22.27 (assume a5108 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((X $$unsorted) (Least $$unsorted)) (=> (forall ((X_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Least) X_2))) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Least) X) (tptp.ti X_a Least)))))))
% 22.01/22.27 (assume a5109 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ord_min X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.min X_a) (tptp.ord_less_eq X_a))))))
% 22.01/22.27 (assume a5110 (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (exists ((A_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) A_4)) (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) (tptp.hAPP tptp.nat tptp.rat X_3 N_2))) A_4))))) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes Y_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat)) (tptp.combs tptp.nat tptp.rat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.hAPP (tptp.fun tptp.rat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat))) (tptp.combb tptp.rat (tptp.fun tptp.rat tptp.rat) tptp.nat) (tptp.times_times tptp.rat)) X_3)) Y_3)))))))
% 22.01/22.27 (assume a5111 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Ma)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat N_1)) (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) Ma) N_1) (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.int) (tptp.fun (tptp.fun tptp.nat tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.image tptp.nat tptp.int) (tptp.semiring_1_of_nat tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 Ma)) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 N_1))))))))
% 22.01/22.27 (assume a5112 (forall ((X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X_1)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) X_1)))))
% 22.01/22.27 (assume a5113 (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes Y_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat)) (tptp.combs tptp.nat tptp.rat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.hAPP (tptp.fun tptp.rat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat))) (tptp.combb tptp.rat (tptp.fun tptp.rat tptp.rat) tptp.nat) (tptp.minus_minus tptp.rat)) X_3)) Y_3)))))))
% 22.01/22.27 (assume a5114 (forall ((Y_3 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes Y_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat)) (tptp.combs tptp.nat tptp.rat tptp.rat) (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat)) (tptp.hAPP (tptp.fun tptp.rat (tptp.fun tptp.rat tptp.rat)) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat (tptp.fun tptp.rat tptp.rat))) (tptp.combb tptp.rat (tptp.fun tptp.rat tptp.rat) tptp.nat) (tptp.plus_plus tptp.rat)) X_3)) Y_3)))))))
% 22.01/22.27 (assume a5115 (forall ((C_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes (tptp.hAPP tptp.rat (tptp.fun tptp.nat tptp.rat) (tptp.combk tptp.rat tptp.nat) C_1))) (= C_1 (tptp.zero_zero tptp.rat)))))
% 22.01/22.27 (assume a5116 (forall ((X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes (tptp.hAPP (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat) (tptp.hAPP (tptp.fun tptp.rat tptp.rat) (tptp.fun (tptp.fun tptp.nat tptp.rat) (tptp.fun tptp.nat tptp.rat)) (tptp.combb tptp.rat tptp.rat tptp.nat) (tptp.uminus_uminus tptp.rat)) X_3))))))
% 22.01/22.27 (assume a5117 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) X) Y)))))))
% 22.01/22.27 (assume a5118 (forall ((N $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) X) N))))))
% 22.01/22.27 (assume a5119 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_mod tptp.int) X) Y)))))))
% 22.01/22.27 (assume a5120 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.div_div tptp.int) X) Y)))))))
% 22.01/22.27 (assume a5121 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) tptp.nat_tsub X) Y)))))))
% 22.01/22.27 (assume a5122 (forall ((X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X_1))))))
% 22.01/22.27 (assume a5123 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.zero_zero tptp.int))))
% 22.01/22.27 (assume a5124 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.one_one tptp.int))))
% 22.01/22.27 (assume a5125 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X) Y)))))))
% 22.01/22.27 (assume a5126 (forall ((Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) Z_1)))))
% 22.01/22.27 (assume a5127 (forall ((Y_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X_1)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) X_1) Y_1))))))
% 22.01/22.27 (assume a5128 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.27 (assume a5129 (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat Y)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.gcd_gcd tptp.int) X) Y)))))))
% 22.01/22.27 (assume a5130 (forall ((X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less_eq tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.fact_fact tptp.int) X))))))
% 22.01/22.27 (assume a5131 (forall ((A_3 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat X_1)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool tptp.nat_nat_set A_3)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_1) A_3)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.member tptp.nat) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 X_1)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) A_3))))))))
% 22.01/22.27 (assume a5132 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))
% 22.01/22.27 (assume a5133 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP X_a tptp.int F X_2))))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co302546470etprod X_a tptp.int) F) A_3) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co302546470etprod X_a tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.nat)) (tptp.combb tptp.int tptp.nat X_a) tptp.nat_1) F)) A_3))))))
% 22.01/22.27 (assume a5134 (forall ((X_a $$unsorted) (F $$unsorted) (A_3 $$unsorted)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool tptp.nat_is_nat (tptp.hAPP X_a tptp.int F X_2))))) (= (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.int (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun (tptp.fun X_a tptp.bool) tptp.int) (tptp.big_co1399186613setsum X_a tptp.int) F) A_3) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.nat (tptp.hAPP (tptp.fun X_a tptp.nat) (tptp.fun (tptp.fun X_a tptp.bool) tptp.nat) (tptp.big_co1399186613setsum X_a tptp.nat) (tptp.hAPP (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.nat) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun X_a tptp.int) (tptp.fun X_a tptp.nat)) (tptp.combb tptp.int tptp.nat X_a) tptp.nat_1) F)) A_3))))))
% 22.01/22.27 (assume a5135 (forall ((X_3 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)) (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) R_2)) (exists ((K_1 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_1) N_2)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) (tptp.hAPP tptp.nat tptp.rat X_3 N_2))) R_2))))))))))
% 22.01/22.27 (assume a5136 (forall ((R_1 $$unsorted) (X_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) R_1)) (exists ((K_1 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_1) N_2)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) (tptp.hAPP tptp.nat tptp.rat X_3 N_2))) R_1)))))))))
% 22.01/22.27 (assume a5137 (forall ((X_3 $$unsorted)) (=> (forall ((R_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.zero_zero tptp.rat)) R_2)) (exists ((K_1 $$unsorted)) (forall ((N_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less_eq tptp.nat) K_1) N_2)) (tptp.hBOOL (tptp.hAPP tptp.rat tptp.bool (tptp.hAPP tptp.rat (tptp.fun tptp.rat tptp.bool) (tptp.ord_less tptp.rat) (tptp.hAPP tptp.rat tptp.rat (tptp.abs_abs tptp.rat) (tptp.hAPP tptp.nat tptp.rat X_3 N_2))) R_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.rat) tptp.bool tptp.vanishes X_3)))))
% 22.01/22.27 (assume a5138 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) Q_1))) (=> (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1) (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) Q_1)) (exists ((A_4 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 A_4)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 A_4)))))))))
% 22.01/22.27 (assume a5139 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 A_2)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1)))))))
% 22.01/22.27 (assume a5140 (forall ((X_a $$unsorted) (A_2 $$unsorted) (P_1 $$unsorted)) (=> (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_2)) (forall ((Y_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 Y_2)) (= (tptp.ti X_a Y_2) (tptp.ti X_a X_2)))))) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 A_2)) (= (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1) (tptp.ti X_a A_2))))))
% 22.01/22.27 (assume a5141 (forall ((X_a $$unsorted) (Q_1 $$unsorted) (P_1 $$unsorted)) (=> (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X1))) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 X_2)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool Q_1 (tptp.hAPP (tptp.fun X_a tptp.bool) X_a (tptp.hilbert_Eps X_a) P_1)))))))
% 22.01/22.27 (assume a5142 (forall ((X_a $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) A_3) B_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.powp X_a) A_3)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.powp X_a) B_2))))))
% 22.01/22.27 (assume a5143 (forall ((X_a $$unsorted) (A_3 $$unsorted) (X_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.powp X_a) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_a tptp.bool)) (tptp.combc X_a (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a)) A_3)) X_2)) (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) tptp.bool) (tptp.member (tptp.fun X_a tptp.bool)) X_2) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.pow X_a) A_3))))))
% 22.01/22.27 (assume a5144 (forall ((Ma $$unsorted) (X_2 $$unsorted) (Xa $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcongm Ma) X_2) Xa)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong X_2) Xa) Ma)))))
% 22.01/22.27 (assume a5145 (forall ((B_2 $$unsorted) (P_2 $$unsorted) (P_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) X_2) Z_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)))))) (=> (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) B_2)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) D_2)))))) (=> (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_1) D_2)))))) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X1))) (or (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (exists ((Xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) B_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) Xa) X_2)))))))))))))))
% 22.01/22.27 (assume a5146 (forall ((A_3 $$unsorted) (B_2 $$unsorted) (Ma $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) (tptp.product_Pair (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) A_3) B_2)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) tptp.bool) (tptp.bijR tptp.int tptp.int) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcongm Ma)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.zcong (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) A_3)) (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.int (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.big_co302546470etprod tptp.int tptp.int) (tptp.combi tptp.int)) B_2)) Ma)))))
% 22.01/22.27 (assume a5147 (forall ((A_3 $$unsorted) (P_2 $$unsorted) (P_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) D_2)) (=> (exists ((Z_2 $$unsorted)) (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) Z_2) X_2)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)))))) (=> (forall ((X_2 $$unsorted)) (=> (forall ((Xa $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (forall ((Xb $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xb) A_3)) (not (= (tptp.ti tptp.int X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xb) Xa))))))) (=> (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) X_2) D_2)))))) (=> (forall ((X_2 $$unsorted) (K_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) X_2) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) K_1) D_2)))))) (= (exists ((X1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 X1))) (or (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_2 X_2)))) (exists ((X_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) X_2) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.one_one tptp.int)) D_2))) (exists ((Xa $$unsorted)) (and (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.int tptp.bool) tptp.bool (tptp.hAPP tptp.int (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.member tptp.int) Xa) A_3)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool P_1 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.minus_minus tptp.int) Xa) X_2)))))))))))))))
% 22.01/22.27 (assume a5148 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.product_Pair (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) A_3) B_2)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.bijR X_a X_b) P_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)))))
% 22.01/22.27 (assume a5149 (forall ((X_a $$unsorted) (X_b $$unsorted) (A_3 $$unsorted) (B_2 $$unsorted) (P_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) tptp.bool (tptp.hAPP (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) tptp.bool) (tptp.member (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.hAPP (tptp.fun X_b tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_b tptp.bool) (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool))) (tptp.product_Pair (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) A_3) B_2)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b tptp.bool)) (tptp.fun (tptp.product_prod (tptp.fun X_a tptp.bool) (tptp.fun X_b tptp.bool)) tptp.bool) (tptp.bijR X_a X_b) P_1))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_b tptp.bool) tptp.bool (tptp.finite_finite_1 X_b) B_2)))))
% 22.01/22.27 (assume a5150 (forall ((L $$unsorted) (F $$unsorted)) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) (tptp.hAPP tptp.nat tptp.real F (tptp.hAPP tptp.nat tptp.nat tptp.suc N_2))))) (=> (forall ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) L))) (=> (forall ((E $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (exists ((N_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) L) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.plus_plus tptp.real) (tptp.hAPP tptp.nat tptp.real F N_2)) E)))))) (tptp.hBOOL (tptp.hAPP (tptp.filter tptp.nat) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.real (tptp.fun (tptp.filter tptp.nat) tptp.bool)) (tptp.tendsto tptp.nat tptp.real) F) L) tptp.sequentially)))))))
% 22.01/22.27 (assume a5151 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b) (tptp.topological_space X_c)) (forall ((G $$unsorted) (L $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) G) L) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) (tptp.hAPP X_a X_b F A_2)))) (=> (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.norm_norm X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X_2) A_2))) D_3))) (not (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b F A_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) G) F)) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a5152 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) F) (tptp.hAPP X_a X_b F A_2)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))
% 22.01/22.27 (assume a5153 (forall ((X_a $$unsorted) (X_b $$unsorted) (X_c $$unsorted)) (=> (and (tptp.topological_space X_c) (tptp.topological_space X_b) (tptp.topological_space X_a)) (forall ((F $$unsorted) (A_2 $$unsorted) (G $$unsorted) (L $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) L)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_c) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.filter X_c) tptp.bool) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun X_a (tptp.fun (tptp.filter X_c) tptp.bool)) (tptp.tendsto X_c X_a) F) L) (tptp.hAPP X_c (tptp.filter X_c) (tptp.at X_c) A_2))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_c) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_c) tptp.bool) (tptp.hAPP (tptp.fun X_c X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_c) tptp.bool)) (tptp.tendsto X_c X_b) (tptp.hAPP (tptp.fun X_c X_a) (tptp.fun X_c X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_c X_a) (tptp.fun X_c X_b)) (tptp.combb X_a X_b X_c) G) F)) (tptp.hAPP X_a X_b G L)) (tptp.hAPP X_c (tptp.filter X_c) (tptp.at X_c) A_2)))))))))
% 22.01/22.27 (assume a5154 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (L $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) L)) (exists ((G_1 $$unsorted)) (and (forall ((Z_2 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a F Z_2)) (tptp.hAPP X_a X_a F X_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) (tptp.hAPP X_a X_a G_1 Z_2)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Z_2) X_1)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) G_1) X_1)) (= (tptp.hAPP X_a X_a G_1 X_1) (tptp.ti X_a L)))))))))
% 22.01/22.27 (assume a5155 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.ln) X_1)))))
% 22.01/22.27 (assume a5156 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1)))))
% 22.01/22.27 (assume a5157 (forall ((X_1 $$unsorted)) (=> (not (= (tptp.hAPP tptp.real tptp.real tptp.cos X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.tan) X_1)))))
% 22.01/22.27 (assume a5158 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((F $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.deriv X_a) F) X_1) D_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) F) X_1)))))))
% 22.01/22.27 (assume a5159 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.cos) X_1))))
% 22.01/22.27 (assume a5160 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.arctan) X_1))))
% 22.01/22.27 (assume a5161 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.sqrt) X_1))))
% 22.01/22.27 (assume a5162 (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.sin) X_1))))
% 22.01/22.27 (assume a5163 (forall ((X_a $$unsorted)) (=> (and (tptp.real_normed_field X_a) (tptp.banach X_a)) (forall ((X_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.exp X_a)) X_1))))))
% 22.01/22.27 (assume a5164 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.complex tptp.complex) (tptp.fun tptp.complex tptp.bool) (tptp.isCont tptp.complex tptp.complex) tptp.cnj) A_2))))
% 22.01/22.27 (assume a5165 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun tptp.complex tptp.bool) (tptp.isCont tptp.complex tptp.real) tptp.im) A_2))))
% 22.01/22.27 (assume a5166 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.complex tptp.bool (tptp.hAPP (tptp.fun tptp.complex tptp.real) (tptp.fun tptp.complex tptp.bool) (tptp.isCont tptp.complex tptp.real) tptp.re) A_2))))
% 22.01/22.27 (assume a5167 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.minus_minus X_b)) F)) G)) A_2))))))))
% 22.01/22.27 (assume a5168 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.plus_plus X_b)) F)) G)) A_2))))))))
% 22.01/22.27 (assume a5169 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_field X_a) (forall ((Y_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.inverse_divide X_a)) Y_1)) A_2))))))
% 22.01/22.27 (assume a5170 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_b)) (forall ((K $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP X_b (tptp.fun X_a X_b) (tptp.combk X_b X_a) K)) A_2))))))
% 22.01/22.27 (assume a5171 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.combi X_a)) A_2))))))
% 22.01/22.27 (assume a5172 (forall ((X_b $$unsorted) (X_c $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.topological_space X_c) (tptp.topological_space X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_b tptp.bool) (tptp.isCont X_b X_c) G) (tptp.hAPP X_a X_b F A_2))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) G) F)) A_2))))))))
% 22.01/22.27 (assume a5173 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.bool) (tptp.isCont X_a tptp.real) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun X_b tptp.real) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a tptp.real)) (tptp.combb X_b tptp.real X_a) (tptp.norm_norm X_b)) F)) A_2)))))))
% 22.01/22.27 (assume a5174 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.power X_b) (tptp.real_normed_algebra X_b)) (forall ((N_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP tptp.nat (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.fun tptp.nat (tptp.fun X_a X_b)) (tptp.combc X_a tptp.nat X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun tptp.nat X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun tptp.nat X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun tptp.nat X_b))) (tptp.combb X_b (tptp.fun tptp.nat X_b) X_a) (tptp.power_power X_b)) F)) N_1)) A_2)))))))
% 22.01/22.27 (assume a5175 (forall ((X_a $$unsorted)) (=> (and (tptp.real_algebra_1 X_a) (tptp.real_normed_vector X_a)) (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real X_a) (tptp.of_real X_a)) A_2))))))
% 22.01/22.27 (assume a5176 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_n2089651433ebra_1 X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.bool) (tptp.isCont X_a tptp.real) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun tptp.real X_b) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a X_b)) (tptp.combb tptp.real X_b X_a) (tptp.of_real X_b)) F)) A_2)))))))
% 22.01/22.27 (assume a5177 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.uminus_uminus X_b)) F)) A_2)))))))
% 22.01/22.27 (assume a5178 (forall ((X_a $$unsorted)) (=> (tptp.topological_space X_a) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.bool) (tptp.isCont X_a tptp.real) F) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.bool) (tptp.isCont X_a tptp.real) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.real)) (tptp.combb tptp.real tptp.real X_a) (tptp.abs_abs tptp.real)) F)) A_2)))))))
% 22.01/22.27 (assume a5179 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) X_1)) A_2))))))
% 22.01/22.27 (assume a5180 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_algebra X_a) (forall ((Y_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.combc X_a X_a X_a) (tptp.times_times X_a)) Y_1)) A_2))))))
% 22.01/22.27 (assume a5181 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) G)) A_2))))))))
% 22.01/22.27 (assume a5182 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_algebra X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun X_b (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb X_b (tptp.fun X_b X_b) X_a) (tptp.times_times X_b)) F)) G)) A_2))))))))
% 22.01/22.27 (assume a5183 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (not (= (tptp.hAPP X_a X_b F A_2) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.sgn_sgn X_b)) F)) A_2))))))))
% 22.01/22.27 (assume a5184 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_n1866405975lgebra X_b)) (forall ((F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (not (= (tptp.hAPP X_a X_b F A_2) (tptp.zero_zero X_b))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_b X_b) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combb X_b X_b X_a) (tptp.inverse_inverse X_b)) F)) A_2))))))))
% 22.01/22.27 (assume a5185 (forall ((A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) (tptp.abs_abs tptp.real)) A_2))))
% 22.01/22.27 (assume a5186 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((R_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_a) (tptp.hAPP tptp.real (tptp.fun X_a X_a) (tptp.scaleR_scaleR X_a) R_1)) A_2))))))
% 22.01/22.27 (assume a5187 (forall ((X_a $$unsorted)) (=> (tptp.real_normed_vector X_a) (forall ((X_1 $$unsorted) (A_2 $$unsorted)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real X_a) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real X_a) (tptp.hAPP X_a (tptp.fun tptp.real X_a) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_a X_a)) (tptp.fun X_a (tptp.fun tptp.real X_a)) (tptp.combc tptp.real X_a X_a) (tptp.scaleR_scaleR X_a)) X_1)) A_2))))))
% 22.01/22.27 (assume a5188 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.topological_space X_a) (tptp.real_normed_vector X_b)) (forall ((G $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a tptp.bool) (tptp.isCont X_a tptp.real) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) G) A_2)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_b)) (tptp.combs X_a X_b X_b) (tptp.hAPP (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun X_b X_b)) (tptp.fun (tptp.fun X_a tptp.real) (tptp.fun X_a (tptp.fun X_b X_b))) (tptp.combb tptp.real (tptp.fun X_b X_b) X_a) (tptp.scaleR_scaleR X_b)) F)) G)) A_2))))))))
% 22.01/22.27 (assume a5189 (forall ((N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) (tptp.zero_zero tptp.real))))))
% 22.01/22.27 (assume a5190 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.zero_zero tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1))))))
% 22.01/22.27 (assume a5191 (forall ((X_1 $$unsorted) (N_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.nat tptp.bool (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_less tptp.nat) (tptp.zero_zero tptp.nat)) N_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root N_1)) X_1))))))
% 22.01/22.27 (assume a5192 (forall ((X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.real_normed_vector X_a) (tptp.topological_space X_b)) (forall ((F $$unsorted) (X_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) X_1)) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_b (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_b (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_b) (tptp.hAPP (tptp.fun X_a X_a) (tptp.fun X_a X_b) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun (tptp.fun X_a X_a) (tptp.fun X_a X_b)) (tptp.combb X_a X_b X_a) F) (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X_1))) (tptp.hAPP X_a X_b F X_1)) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) (tptp.zero_zero X_a)))))))))
% 22.01/22.27 (assume a5193 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.arccos) X_1))))))
% 22.01/22.27 (assume a5194 (forall ((X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) tptp.min_1)) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) (tptp.one_one tptp.real))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) tptp.arcsin) X_1))))))
% 22.01/22.27 (assume a5195 (forall ((X_c $$unsorted) (X_b $$unsorted) (X_a $$unsorted)) (=> (and (tptp.metric_space X_a) (tptp.topological_space X_b) (tptp.topological_space X_c)) (forall ((G $$unsorted) (L $$unsorted) (F $$unsorted) (A_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a tptp.bool) (tptp.isCont X_a X_b) F) A_2)) (=> (tptp.hBOOL (tptp.hAPP (tptp.filter X_b) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_b) tptp.bool) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_b) tptp.bool)) (tptp.tendsto X_b X_c) G) L) (tptp.hAPP X_b (tptp.filter X_b) (tptp.at X_b) (tptp.hAPP X_a X_b F A_2)))) (=> (exists ((D_3 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_3)) (forall ((X_2 $$unsorted)) (=> (and (not (= (tptp.ti X_a X_2) (tptp.ti X_a A_2))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP X_a tptp.real (tptp.hAPP X_a (tptp.fun X_a tptp.real) (tptp.dist_dist X_a) X_2) A_2)) D_3))) (not (= (tptp.hAPP X_a X_b F X_2) (tptp.hAPP X_a X_b F A_2))))))) (tptp.hBOOL (tptp.hAPP (tptp.filter X_a) tptp.bool (tptp.hAPP X_c (tptp.fun (tptp.filter X_a) tptp.bool) (tptp.hAPP (tptp.fun X_a X_c) (tptp.fun X_c (tptp.fun (tptp.filter X_a) tptp.bool)) (tptp.tendsto X_a X_c) (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) G) F)) L) (tptp.hAPP X_a (tptp.filter X_a) (tptp.at X_a) A_2))))))))))
% 22.01/22.27 (assume a5196 (forall ((F $$unsorted) (B_1 $$unsorted) (X_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) B_1) X_1)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.bool (tptp.hAPP tptp.real (tptp.fun (tptp.fun tptp.real tptp.bool) tptp.bool) (tptp.member tptp.real) X_2) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP tptp.real (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.ord_gr676655987ssThan tptp.real) B_1) X_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real F X_2))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real F X_1))))))))
% 22.01/22.27 (assume a5197 (forall ((B_1 $$unsorted) (A_2 $$unsorted) (F $$unsorted) (G $$unsorted) (X_1 $$unsorted) (D_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) (tptp.hAPP tptp.real tptp.real G X_1)) D_2)) (=> (not (= D_2 (tptp.zero_zero tptp.real))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_1) B_1)) (=> (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) Y_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) Y_2) B_1))) (= (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real G Y_2)) Y_2))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) G) X_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) G) X_1) (tptp.hAPP tptp.real tptp.real (tptp.inverse_inverse tptp.real) D_2)))))))))))
% 22.01/22.27 (assume a5198 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted)) (=> (and (tptp.topological_space X_b) (tptp.real_normed_vector X_c)) (forall ((F $$unsorted) (X_1 $$unsorted) (A_3 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.finite_finite_1 X_a) A_3)) (=> (forall ((X_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) X_2) A_3)) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_b tptp.bool) (tptp.isCont X_b X_c) (tptp.hAPP X_a (tptp.fun X_b X_c) F X_2)) X_1)))) (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun X_b tptp.bool) (tptp.isCont X_b X_c) (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun X_b X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_a tptp.bool) (tptp.fun X_b X_c)) (tptp.combc X_b (tptp.fun X_a tptp.bool) X_c) (tptp.hAPP (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.hAPP (tptp.fun (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c)) (tptp.fun (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.fun X_b (tptp.fun (tptp.fun X_a tptp.bool) X_c))) (tptp.combb (tptp.fun X_a X_c) (tptp.fun (tptp.fun X_a tptp.bool) X_c) X_b) (tptp.big_co1399186613setsum X_a X_c)) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.combc X_a X_b X_c) F))) A_3)) X_1))))))))
% 22.01/22.27 (assume a5199 (forall ((G $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (= (tptp.hAPP tptp.real tptp.real G (tptp.hAPP tptp.real tptp.real F Z_2)) Z_2))) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) Z_2)))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) G) (tptp.hAPP tptp.real tptp.real F X_1))))))))
% 22.01/22.27 (assume a5200 (forall ((X_1 $$unsorted) (F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) X_2)))) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.zero_zero tptp.real))))) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_1)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_1) B_1)) (= (tptp.hAPP tptp.real tptp.real F X_1) (tptp.hAPP tptp.real tptp.real F A_2)))))))))
% 22.01/22.27 (assume a5201 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) X_2)))) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.zero_zero tptp.real))))) (= (tptp.hAPP tptp.real tptp.real F B_1) (tptp.hAPP tptp.real tptp.real F A_2)))))))
% 22.01/22.27 (assume a5202 (forall ((F $$unsorted) (A_2 $$unsorted) (B_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) B_1)) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) X_2)))) (=> (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) X_2) B_1))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.deriv tptp.real) F) X_2) (tptp.zero_zero tptp.real))))) (forall ((X_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) A_2) X_2)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) X_2) B_1))) (= (tptp.hAPP tptp.real tptp.real F X_2) (tptp.hAPP tptp.real tptp.real F A_2)))))))))
% 22.01/22.27 (assume a5203 (forall ((G $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (= (tptp.hAPP tptp.real tptp.real G (tptp.hAPP tptp.real tptp.real F Z_2)) Z_2))) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) Z_2)))) (exists ((E $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) E)) (forall ((Y_2 $$unsorted)) (=> (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Y_2) (tptp.hAPP tptp.real tptp.real F X_1))))) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Y_2) (tptp.hAPP tptp.real tptp.real F X_1)))) E))) (= (tptp.hAPP tptp.real tptp.real F (tptp.hAPP tptp.real tptp.real G Y_2)) Y_2))))))))))
% 22.01/22.27 (assume a5204 (forall ((G $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (= (tptp.hAPP tptp.real tptp.real G (tptp.hAPP tptp.real tptp.real F Z_2)) Z_2))) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) Z_2)))) (exists ((Z_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F Z_2)) (tptp.hAPP tptp.real tptp.real F X_1))))))))))
% 22.01/22.27 (assume a5205 (forall ((G $$unsorted) (F $$unsorted) (X_1 $$unsorted) (D_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.zero_zero tptp.real)) D_1)) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (= (tptp.hAPP tptp.real tptp.real G (tptp.hAPP tptp.real tptp.real F Z_2)) Z_2))) (=> (forall ((Z_2 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.bool) (tptp.isCont tptp.real tptp.real) F) Z_2)))) (exists ((Z_2 $$unsorted)) (and (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.abs_abs tptp.real) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.minus_minus tptp.real) Z_2) X_1))) D_1)) (tptp.hBOOL (tptp.hAPP tptp.real tptp.bool (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less tptp.real) (tptp.hAPP tptp.real tptp.real F X_1)) (tptp.hAPP tptp.real tptp.real F Z_2))))))))))
% 22.01/22.27 (assume a5206 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) N_1) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.nat) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.nat tptp.bool)) (tptp.image tptp.int tptp.nat) tptp.nat_1) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.ord_atLeastAtMost tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.nat tptp.int (tptp.semiring_1_of_nat tptp.int) N_1))))))
% 22.01/22.27 (assume a5207 (forall ((N_1 $$unsorted) (V_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) V_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.bool (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.if tptp.nat) (tptp.hAPP tptp.int tptp.bool tptp.nat_neg (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) N_1) (tptp.hAPP tptp.int tptp.nat tptp.nat_1 (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.pred V_1)))))))))
% 22.01/22.27 (assume a5208 (forall ((K $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) K)))))
% 22.01/22.27 (assume a5209 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (Z_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1)) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Z_1) X)))))))
% 22.01/22.27 (assume a5210 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (Z_1 $$unsorted) (X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1)) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) X)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Z_1) X)))))))
% 22.01/22.27 (assume a5211 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Z_1)))))))
% 22.01/22.27 (assume a5212 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Z_1)))))))
% 22.01/22.27 (assume a5213 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) (tptp.ti X_a X))))))
% 22.01/22.27 (assume a5214 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) (tptp.ti X_a X))))))
% 22.01/22.27 (assume a5215 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)))))))
% 22.01/22.27 (assume a5216 (forall ((X_a $$unsorted)) (=> (tptp.linord219039673up_add X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) X)) (tptp.hAPP X_a X_a (tptp.uminus_uminus X_a) Y)))))))
% 22.01/22.27 (assume a5217 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) Z_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1))))))))
% 22.01/22.27 (assume a5218 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) Y) Z_1))) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_min X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Z_1))))))))
% 22.01/22.27 (assume a5219 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (= (tptp.ord_max X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.max X_a) (tptp.ord_less_eq X_a))))))
% 22.01/22.27 (assume a5220 (forall ((N_1 $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.hAPP tptp.nat (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.ord_atLeastAtMost tptp.nat) (tptp.zero_zero tptp.nat)) N_1) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) N_1))))
% 22.01/22.27 (assume a5221 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X_1) Y_1)) Z)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X_1) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Y_1) Z))))))))
% 22.01/22.27 (assume a5222 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) Z) Y_1))))))))
% 22.01/22.27 (assume a5223 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B))))))))
% 22.01/22.27 (assume a5224 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (X $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B))))))))
% 22.01/22.27 (assume a5225 (forall ((K $$unsorted)) (= (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_lessThan tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc K)) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) K))))
% 22.01/22.27 (assume a5226 (forall ((N_1 $$unsorted) (Ma $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) Ma) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.nat_case tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) N_1))) Ma))))
% 22.01/22.27 (assume a5227 (forall ((Ma $$unsorted) (N_1 $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) Ma) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP tptp.nat (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.nat_case tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc N_1)) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat tptp.nat)) (tptp.combb tptp.nat tptp.nat tptp.nat) tptp.suc) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.nat)) (tptp.combc tptp.nat tptp.nat tptp.nat) (tptp.ord_max tptp.nat)) N_1))) Ma))))
% 22.01/22.27 (assume a5228 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) X) (tptp.ti X_a X))))))
% 22.01/22.27 (assume a5229 (forall ((N $$unsorted) (M $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.plus_plus tptp.nat) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.minus_minus tptp.nat) N) M)) M) (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) N) M))))
% 22.01/22.27 (assume a5230 (forall ((X_a $$unsorted)) (=> (tptp.ordered_ab_group_add X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.minus_minus X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5231 (forall ((X_a $$unsorted)) (=> (tptp.ordere236663937imp_le X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) X) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.plus_plus X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5232 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) N) (tptp.zero_zero tptp.nat)) N)))
% 22.01/22.27 (assume a5233 (forall ((N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) (tptp.zero_zero tptp.nat)) N) N)))
% 22.01/22.27 (assume a5234 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (= (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_atMost X_a) X_1) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_atMost X_a) Y_1)) (= (tptp.ti X_a X_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.27 (assume a5235 (forall ((M $$unsorted) (N $$unsorted)) (= (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) (tptp.hAPP tptp.nat tptp.nat tptp.suc M)) (tptp.hAPP tptp.nat tptp.nat tptp.suc N)) (tptp.hAPP tptp.nat tptp.nat tptp.suc (tptp.hAPP tptp.nat tptp.nat (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.nat) (tptp.ord_max tptp.nat) M) N)))))
% 22.01/22.27 (assume a5236 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) Z_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1)))))))
% 22.01/22.27 (assume a5237 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B)) C) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) B) C)))))))
% 22.01/22.27 (assume a5238 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted) (Z_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Z_1)))))))
% 22.01/22.27 (assume a5239 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) C)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) B) C)))))))
% 22.01/22.27 (assume a5240 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y))))))
% 22.01/22.27 (assume a5241 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B))))))
% 22.01/22.27 (assume a5242 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) X))))))
% 22.01/22.27 (assume a5243 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) B) A_1))))))
% 22.01/22.27 (assume a5244 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) A_1) (tptp.ti X_a A_1))))))
% 22.01/22.27 (assume a5245 (forall ((U_1 $$unsorted)) (= (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.nat (tptp.finite_card tptp.nat) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) U_1)) (tptp.hAPP tptp.nat tptp.nat tptp.suc U_1))))
% 22.01/22.27 (assume a5246 (forall ((S $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.finite_finite_1 tptp.nat) S)) (exists ((K_1 $$unsorted)) (tptp.hBOOL (tptp.hAPP (tptp.fun tptp.nat tptp.bool) tptp.bool (tptp.hAPP (tptp.fun tptp.nat tptp.bool) (tptp.fun (tptp.fun tptp.nat tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun tptp.nat tptp.bool)) S) (tptp.hAPP tptp.nat (tptp.fun tptp.nat tptp.bool) (tptp.ord_atMost tptp.nat) K_1)))))))
% 22.01/22.27 (assume a5247 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (B $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B)) X)) (not (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) X)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) X))))))))))
% 22.01/22.27 (assume a5248 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (D $$unsorted) (A_1 $$unsorted) (C $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) C)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) D)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B)) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) C) D)))))))))
% 22.01/22.27 (assume a5249 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Z_1 $$unsorted) (Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z_1) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) Y) Z_1)) X))))))))
% 22.01/22.27 (assume a5250 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (A_1 $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) A_1) X)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) B) X)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B)) X))))))))
% 22.01/22.27 (assume a5251 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) X)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y) (tptp.ti X_a X)))))))
% 22.01/22.27 (assume a5252 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) Y)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y) (tptp.ti X_a Y)))))))
% 22.01/22.27 (assume a5253 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((A_1 $$unsorted) (X $$unsorted) (B $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) B)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B))))))))
% 22.01/22.27 (assume a5254 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((B $$unsorted) (X $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) A_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) A_1) B))))))))
% 22.01/22.27 (assume a5255 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted) (Z $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X_1) Y_1)) Z)) (and (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Z)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y_1) Z))))))))
% 22.01/22.27 (assume a5256 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X_1) Y_1) (tptp.ti X_a Y_1)))))))
% 22.01/22.27 (assume a5257 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Y $$unsorted) (X $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Y) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)))))))
% 22.01/22.27 (assume a5258 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X) Y)))))))
% 22.01/22.27 (assume a5259 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (forall ((Z $$unsorted) (X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.ord_max X_a) X_1) Y_1))) (or (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z) X_1)) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) Z) Y_1))))))))
% 22.01/22.27 (assume a5260 (forall ((X_a $$unsorted)) (=> (tptp.ord X_a) (forall ((I $$unsorted) (K $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP X_a (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.member X_a) I) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_atMost X_a) K))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) I) K)))))))
% 22.01/22.27 (assume a5261 (forall ((X_b $$unsorted)) (=> (and (tptp.number X_b) (tptp.ord X_b)) (forall ((U $$unsorted) (V $$unsorted)) (and (=> (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.ord_max X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V))) (=> (not (tptp.hBOOL (tptp.hAPP X_b tptp.bool (tptp.hAPP X_b (tptp.fun X_b tptp.bool) (tptp.ord_less_eq X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)))) (= (tptp.hAPP X_b X_b (tptp.hAPP X_b (tptp.fun X_b X_b) (tptp.ord_max X_b) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) V)) (tptp.hAPP tptp.int X_b (tptp.number_number_of X_b) U))))))))
% 22.01/22.27 (assume a5262 (forall ((X_a $$unsorted)) (=> (tptp.order X_a) (forall ((X_1 $$unsorted) (Y_1 $$unsorted)) (= (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.hAPP (tptp.fun X_a tptp.bool) (tptp.fun (tptp.fun X_a tptp.bool) tptp.bool) (tptp.ord_less_eq (tptp.fun X_a tptp.bool)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_atMost X_a) X_1)) (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_atMost X_a) Y_1))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less_eq X_a) X_1) Y_1)))))))
% 22.01/22.27 (assume a5263 (forall ((X_a $$unsorted)) (=> (tptp.linorder X_a) (= (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.min X_a) (tptp.hAPP (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.fun X_a (tptp.fun X_a tptp.bool)) (tptp.combc X_a X_a tptp.bool) (tptp.ord_less_eq X_a))) (tptp.ord_max X_a)))))
% 22.01/22.27 (assume a5264 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.comple44059174attice T_1) (tptp.comple44059174attice (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5265 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.boolean_algebra T_1) (tptp.boolean_algebra (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5266 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.preorder T_1) (tptp.preorder (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5267 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (and (tptp.finite_finite T_1) (tptp.finite_finite T_2)) (tptp.finite_finite (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5268 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.order T_1) (tptp.order (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5269 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.ord T_1) (tptp.ord (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5270 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.uminus T_1) (tptp.uminus (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5271 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (tptp.minus T_1) (tptp.minus (tptp.fun T_2 T_1)))))
% 22.01/22.27 (assume a5272 (tptp.semiri456707255roduct tptp.int))
% 22.01/22.27 (assume a5273 (tptp.ordere223160158up_add tptp.int))
% 22.01/22.27 (assume a5274 (tptp.ordere236663937imp_le tptp.int))
% 22.01/22.27 (assume a5275 (tptp.linord893533164strict tptp.int))
% 22.01/22.27 (assume a5276 (tptp.linord626643107strict tptp.int))
% 22.01/22.27 (assume a5277 (tptp.linord20386208strict tptp.int))
% 22.01/22.27 (assume a5278 (tptp.ordere779506340up_add tptp.int))
% 22.01/22.27 (assume a5279 (tptp.ordere142940540dd_abs tptp.int))
% 22.01/22.27 (assume a5280 (tptp.ordere216010020id_add tptp.int))
% 22.01/22.27 (assume a5281 (tptp.linord219039673up_add tptp.int))
% 22.01/22.27 (assume a5282 (tptp.cancel146912293up_add tptp.int))
% 22.01/22.27 (assume a5283 (tptp.ring_11004092258visors tptp.int))
% 22.01/22.27 (assume a5284 (tptp.ordere453448008miring tptp.int))
% 22.01/22.27 (assume a5285 (tptp.linord581940658strict tptp.int))
% 22.01/22.27 (assume a5286 (tptp.ring_n68954251visors tptp.int))
% 22.01/22.27 (assume a5287 (tptp.ordere1490568538miring tptp.int))
% 22.01/22.27 (assume a5288 (tptp.linord1278240602ring_1 tptp.int))
% 22.01/22.27 (assume a5289 (tptp.ordered_ab_group_add tptp.int))
% 22.01/22.27 (assume a5290 (tptp.cancel_semigroup_add tptp.int))
% 22.01/22.27 (assume a5291 (tptp.linordered_semiring tptp.int))
% 22.01/22.27 (assume a5292 (tptp.linordered_semidom tptp.int))
% 22.01/22.27 (assume a5293 (tptp.ab_semigroup_mult tptp.int))
% 22.01/22.27 (assume a5294 (tptp.comm_monoid_mult tptp.int))
% 22.01/22.27 (assume a5295 (tptp.ab_semigroup_add tptp.int))
% 22.01/22.27 (assume a5296 (tptp.ordered_semiring tptp.int))
% 22.01/22.27 (assume a5297 (tptp.ordered_ring_abs tptp.int))
% 22.01/22.27 (assume a5298 (tptp.no_zero_divisors tptp.int))
% 22.01/22.27 (assume a5299 (tptp.comm_monoid_add tptp.int))
% 22.01/22.27 (assume a5300 (tptp.linordered_ring tptp.int))
% 22.01/22.27 (assume a5301 (tptp.linordered_idom tptp.int))
% 22.01/22.27 (assume a5302 (tptp.comm_semiring_1 tptp.int))
% 22.01/22.27 (assume a5303 (tptp.comm_semiring_0 tptp.int))
% 22.01/22.27 (assume a5304 (tptp.semiring_div tptp.int))
% 22.01/22.27 (assume a5305 (tptp.comm_semiring tptp.int))
% 22.01/22.27 (assume a5306 (tptp.semiring_char_0 tptp.int))
% 22.01/22.27 (assume a5307 (tptp.number_semiring tptp.int))
% 22.01/22.27 (assume a5308 (tptp.ab_group_add tptp.int))
% 22.01/22.27 (assume a5309 (tptp.zero_neq_one tptp.int))
% 22.01/22.27 (assume a5310 (tptp.ordered_ring tptp.int))
% 22.01/22.27 (assume a5311 (tptp.preorder tptp.int))
% 22.01/22.27 (assume a5312 (tptp.linorder tptp.int))
% 22.01/22.27 (assume a5313 (tptp.monoid_mult tptp.int))
% 22.01/22.27 (assume a5314 (tptp.comm_ring_1 tptp.int))
% 22.01/22.27 (assume a5315 (tptp.monoid_add tptp.int))
% 22.01/22.27 (assume a5316 (tptp.semiring_1 tptp.int))
% 22.01/22.27 (assume a5317 (tptp.semiring_0 tptp.int))
% 22.01/22.27 (assume a5318 (tptp.group_add tptp.int))
% 22.01/22.27 (assume a5319 (tptp.ring_div tptp.int))
% 22.01/22.27 (assume a5320 (tptp.mult_zero tptp.int))
% 22.01/22.27 (assume a5321 (tptp.comm_ring tptp.int))
% 22.01/22.27 (assume a5322 (tptp.order tptp.int))
% 22.01/22.27 (assume a5323 (tptp.ring_char_0 tptp.int))
% 22.01/22.27 (assume a5324 (tptp.number_ring tptp.int))
% 22.01/22.27 (assume a5325 (tptp.semiring tptp.int))
% 22.01/22.27 (assume a5326 (tptp.ord tptp.int))
% 22.01/22.27 (assume a5327 (tptp.uminus tptp.int))
% 22.01/22.27 (assume a5328 (tptp.sgn_if tptp.int))
% 22.01/22.27 (assume a5329 (tptp.abs_if tptp.int))
% 22.01/22.27 (assume a5330 (tptp.ring_1 tptp.int))
% 22.01/22.27 (assume a5331 (tptp.minus tptp.int))
% 22.01/22.27 (assume a5332 (tptp.power tptp.int))
% 22.01/22.27 (assume a5333 (tptp.zero tptp.int))
% 22.01/22.27 (assume a5334 (tptp.plus tptp.int))
% 22.01/22.27 (assume a5335 (tptp.ring tptp.int))
% 22.01/22.27 (assume a5336 (tptp.idom tptp.int))
% 22.01/22.27 (assume a5337 (tptp.number tptp.int))
% 22.01/22.27 (assume a5338 (tptp.one tptp.int))
% 22.01/22.27 (assume a5339 (tptp.dvd tptp.int))
% 22.01/22.27 (assume a5340 (tptp.semiri456707255roduct tptp.nat))
% 22.01/22.27 (assume a5341 (tptp.ordere223160158up_add tptp.nat))
% 22.01/22.27 (assume a5342 (tptp.ordere236663937imp_le tptp.nat))
% 22.01/22.27 (assume a5343 (tptp.linord893533164strict tptp.nat))
% 22.01/22.27 (assume a5344 (tptp.linord20386208strict tptp.nat))
% 22.01/22.27 (assume a5345 (tptp.ordere779506340up_add tptp.nat))
% 22.01/22.27 (assume a5346 (tptp.ordere216010020id_add tptp.nat))
% 22.01/22.27 (assume a5347 (tptp.cancel146912293up_add tptp.nat))
% 22.01/22.27 (assume a5348 (tptp.ordere453448008miring tptp.nat))
% 22.01/22.27 (assume a5349 (tptp.ordere1490568538miring tptp.nat))
% 22.01/22.27 (assume a5350 (tptp.cancel_semigroup_add tptp.nat))
% 22.01/22.27 (assume a5351 (tptp.linordered_semiring tptp.nat))
% 22.01/22.27 (assume a5352 (tptp.linordered_semidom tptp.nat))
% 22.01/22.27 (assume a5353 (tptp.ab_semigroup_mult tptp.nat))
% 22.01/22.27 (assume a5354 (tptp.comm_monoid_mult tptp.nat))
% 22.01/22.27 (assume a5355 (tptp.ab_semigroup_add tptp.nat))
% 22.01/22.27 (assume a5356 (tptp.ordered_semiring tptp.nat))
% 22.01/22.27 (assume a5357 (tptp.no_zero_divisors tptp.nat))
% 22.01/22.27 (assume a5358 (tptp.comm_monoid_add tptp.nat))
% 22.01/22.27 (assume a5359 (tptp.comm_semiring_1 tptp.nat))
% 22.01/22.27 (assume a5360 (tptp.comm_semiring_0 tptp.nat))
% 22.01/22.27 (assume a5361 (tptp.semiring_div tptp.nat))
% 22.01/22.27 (assume a5362 (tptp.comm_semiring tptp.nat))
% 22.01/22.27 (assume a5363 (tptp.semiring_char_0 tptp.nat))
% 22.01/22.27 (assume a5364 (tptp.number_semiring tptp.nat))
% 22.01/22.27 (assume a5365 (tptp.zero_neq_one tptp.nat))
% 22.01/22.27 (assume a5366 (tptp.preorder tptp.nat))
% 22.01/22.27 (assume a5367 (tptp.linorder tptp.nat))
% 22.01/22.27 (assume a5368 (tptp.monoid_mult tptp.nat))
% 22.01/22.27 (assume a5369 (tptp.monoid_add tptp.nat))
% 22.01/22.27 (assume a5370 (tptp.semiring_1 tptp.nat))
% 22.01/22.27 (assume a5371 (tptp.semiring_0 tptp.nat))
% 22.01/22.27 (assume a5372 (tptp.mult_zero tptp.nat))
% 22.01/22.27 (assume a5373 (tptp.order tptp.nat))
% 22.01/22.27 (assume a5374 (tptp.semiring tptp.nat))
% 22.01/22.27 (assume a5375 (tptp.ord tptp.nat))
% 22.01/22.27 (assume a5376 (tptp.minus tptp.nat))
% 22.01/22.27 (assume a5377 (tptp.power tptp.nat))
% 22.01/22.27 (assume a5378 (tptp.zero tptp.nat))
% 22.01/22.27 (assume a5379 (tptp.plus tptp.nat))
% 22.01/22.27 (assume a5380 (tptp.number tptp.nat))
% 22.01/22.27 (assume a5381 (tptp.one tptp.nat))
% 22.01/22.27 (assume a5382 (tptp.dvd tptp.nat))
% 22.01/22.27 (assume a5383 (tptp.semiri456707255roduct tptp.rat))
% 22.01/22.27 (assume a5384 (tptp.ordere223160158up_add tptp.rat))
% 22.01/22.27 (assume a5385 (tptp.ordere236663937imp_le tptp.rat))
% 22.01/22.27 (assume a5386 (tptp.linord893533164strict tptp.rat))
% 22.01/22.27 (assume a5387 (tptp.linord1117847801e_zero tptp.rat))
% 22.01/22.27 (assume a5388 (tptp.archim1804426504_field tptp.rat))
% 22.01/22.27 (assume a5389 (tptp.linord626643107strict tptp.rat))
% 22.01/22.27 (assume a5390 (tptp.divisi14063676e_zero tptp.rat))
% 22.01/22.27 (assume a5391 (tptp.linord20386208strict tptp.rat))
% 22.01/22.27 (assume a5392 (tptp.ordere779506340up_add tptp.rat))
% 22.01/22.27 (assume a5393 (tptp.ordere142940540dd_abs tptp.rat))
% 22.01/22.27 (assume a5394 (tptp.archim1727834104eiling tptp.rat))
% 22.01/22.27 (assume a5395 (tptp.ordere216010020id_add tptp.rat))
% 22.01/22.27 (assume a5396 (tptp.linord219039673up_add tptp.rat))
% 22.01/22.27 (assume a5397 (tptp.cancel146912293up_add tptp.rat))
% 22.01/22.27 (assume a5398 (tptp.ring_11004092258visors tptp.rat))
% 22.01/22.27 (assume a5399 (tptp.ordere453448008miring tptp.rat))
% 22.01/22.27 (assume a5400 (tptp.linord581940658strict tptp.rat))
% 22.01/22.27 (assume a5401 (tptp.ring_n68954251visors tptp.rat))
% 22.01/22.27 (assume a5402 (tptp.ordere1490568538miring tptp.rat))
% 22.01/22.27 (assume a5403 (tptp.linord1278240602ring_1 tptp.rat))
% 22.01/22.27 (assume a5404 (tptp.ordered_ab_group_add tptp.rat))
% 22.01/22.27 (assume a5405 (tptp.cancel_semigroup_add tptp.rat))
% 22.01/22.27 (assume a5406 (tptp.linordered_semiring tptp.rat))
% 22.01/22.27 (assume a5407 (tptp.field_inverse_zero tptp.rat))
% 22.01/22.27 (assume a5408 (tptp.linordered_semidom tptp.rat))
% 22.01/22.27 (assume a5409 (tptp.dense_linorder tptp.rat))
% 22.01/22.27 (assume a5410 (tptp.ab_semigroup_mult tptp.rat))
% 22.01/22.27 (assume a5411 (tptp.comm_monoid_mult tptp.rat))
% 22.01/22.27 (assume a5412 (tptp.ab_semigroup_add tptp.rat))
% 22.01/22.27 (assume a5413 (tptp.linordered_field tptp.rat))
% 22.01/22.27 (assume a5414 (tptp.ordered_semiring tptp.rat))
% 22.01/22.27 (assume a5415 (tptp.ordered_ring_abs tptp.rat))
% 22.01/22.27 (assume a5416 (tptp.no_zero_divisors tptp.rat))
% 22.01/22.27 (assume a5417 (tptp.comm_monoid_add tptp.rat))
% 22.01/22.27 (assume a5418 (tptp.linordered_ring tptp.rat))
% 22.01/22.27 (assume a5419 (tptp.linordered_idom tptp.rat))
% 22.01/22.27 (assume a5420 (tptp.comm_semiring_1 tptp.rat))
% 22.01/22.27 (assume a5421 (tptp.comm_semiring_0 tptp.rat))
% 22.01/22.27 (assume a5422 (tptp.division_ring tptp.rat))
% 22.01/22.27 (assume a5423 (tptp.comm_semiring tptp.rat))
% 22.01/22.27 (assume a5424 (tptp.semiring_char_0 tptp.rat))
% 22.01/22.27 (assume a5425 (tptp.number_semiring tptp.rat))
% 22.01/22.27 (assume a5426 (tptp.ab_group_add tptp.rat))
% 22.01/22.27 (assume a5427 (tptp.zero_neq_one tptp.rat))
% 22.01/22.27 (assume a5428 (tptp.ordered_ring tptp.rat))
% 22.01/22.27 (assume a5429 (tptp.preorder tptp.rat))
% 22.01/22.27 (assume a5430 (tptp.linorder tptp.rat))
% 22.01/22.27 (assume a5431 (tptp.monoid_mult tptp.rat))
% 22.01/22.27 (assume a5432 (tptp.comm_ring_1 tptp.rat))
% 22.01/22.27 (assume a5433 (tptp.monoid_add tptp.rat))
% 22.01/22.27 (assume a5434 (tptp.semiring_1 tptp.rat))
% 22.01/22.27 (assume a5435 (tptp.semiring_0 tptp.rat))
% 22.01/22.27 (assume a5436 (tptp.field_char_0 tptp.rat))
% 22.01/22.27 (assume a5437 (tptp.group_add tptp.rat))
% 22.01/22.27 (assume a5438 (tptp.mult_zero tptp.rat))
% 22.01/22.27 (assume a5439 (tptp.comm_ring tptp.rat))
% 22.01/22.27 (assume a5440 (tptp.order tptp.rat))
% 22.01/22.27 (assume a5441 (tptp.ring_char_0 tptp.rat))
% 22.01/22.27 (assume a5442 (tptp.number_ring tptp.rat))
% 22.01/22.27 (assume a5443 (tptp.semiring tptp.rat))
% 22.01/22.27 (assume a5444 (tptp.inverse tptp.rat))
% 22.01/22.27 (assume a5445 (tptp.ord tptp.rat))
% 22.01/22.27 (assume a5446 (tptp.uminus tptp.rat))
% 22.01/22.27 (assume a5447 (tptp.sgn_if tptp.rat))
% 22.01/22.27 (assume a5448 (tptp.abs_if tptp.rat))
% 22.01/22.27 (assume a5449 (tptp.ring_1 tptp.rat))
% 22.01/22.27 (assume a5450 (tptp.minus tptp.rat))
% 22.01/22.27 (assume a5451 (tptp.field tptp.rat))
% 22.01/22.27 (assume a5452 (tptp.power tptp.rat))
% 22.01/22.27 (assume a5453 (tptp.zero tptp.rat))
% 22.01/22.27 (assume a5454 (tptp.plus tptp.rat))
% 22.01/22.27 (assume a5455 (tptp.ring tptp.rat))
% 22.01/22.27 (assume a5456 (tptp.idom tptp.rat))
% 22.01/22.27 (assume a5457 (tptp.number tptp.rat))
% 22.01/22.27 (assume a5458 (tptp.one tptp.rat))
% 22.01/22.27 (assume a5459 (tptp.dvd tptp.rat))
% 22.01/22.27 (assume a5460 (tptp.comple44059174attice tptp.bool))
% 22.01/22.27 (assume a5461 (tptp.boolean_algebra tptp.bool))
% 22.01/22.27 (assume a5462 (tptp.preorder tptp.bool))
% 22.01/22.27 (assume a5463 (tptp.finite_finite tptp.bool))
% 22.01/22.27 (assume a5464 (tptp.order tptp.bool))
% 22.01/22.27 (assume a5465 (tptp.ord tptp.bool))
% 22.01/22.27 (assume a5466 (tptp.uminus tptp.bool))
% 22.01/22.27 (assume a5467 (tptp.minus tptp.bool))
% 22.01/22.27 (assume a5468 (tptp.semiri456707255roduct tptp.real))
% 22.01/22.27 (assume a5469 (tptp.ordere223160158up_add tptp.real))
% 22.01/22.27 (assume a5470 (tptp.ordere236663937imp_le tptp.real))
% 22.01/22.27 (assume a5471 (tptp.linord893533164strict tptp.real))
% 22.01/22.27 (assume a5472 (tptp.linord1117847801e_zero tptp.real))
% 22.01/22.27 (assume a5473 (tptp.archim1804426504_field tptp.real))
% 22.01/22.27 (assume a5474 (tptp.linord626643107strict tptp.real))
% 22.01/22.27 (assume a5475 (tptp.real_n1866405975lgebra tptp.real))
% 22.01/22.27 (assume a5476 (tptp.divisi14063676e_zero tptp.real))
% 22.01/22.27 (assume a5477 (tptp.linord20386208strict tptp.real))
% 22.01/22.27 (assume a5478 (tptp.real_n2089651433ebra_1 tptp.real))
% 22.01/22.27 (assume a5479 (tptp.ordere779506340up_add tptp.real))
% 22.01/22.27 (assume a5480 (tptp.ordere142940540dd_abs tptp.real))
% 22.01/22.27 (assume a5481 (tptp.archim1727834104eiling tptp.real))
% 22.01/22.27 (assume a5482 (tptp.real_normed_algebra tptp.real))
% 22.01/22.27 (assume a5483 (tptp.ordere216010020id_add tptp.real))
% 22.01/22.27 (assume a5484 (tptp.linord219039673up_add tptp.real))
% 22.01/22.27 (assume a5485 (tptp.cancel146912293up_add tptp.real))
% 22.01/22.27 (assume a5486 (tptp.ring_11004092258visors tptp.real))
% 22.01/22.27 (assume a5487 (tptp.ordere453448008miring tptp.real))
% 22.01/22.27 (assume a5488 (tptp.real_normed_vector tptp.real))
% 22.01/22.27 (assume a5489 (tptp.linord581940658strict tptp.real))
% 22.01/22.27 (assume a5490 (tptp.topological_space tptp.real))
% 22.01/22.27 (assume a5491 (tptp.real_normed_field tptp.real))
% 22.01/22.27 (assume a5492 (tptp.ring_n68954251visors tptp.real))
% 22.01/22.27 (assume a5493 (tptp.ordere1490568538miring tptp.real))
% 22.01/22.27 (assume a5494 (tptp.linord1278240602ring_1 tptp.real))
% 22.01/22.27 (assume a5495 (tptp.real_div_algebra tptp.real))
% 22.01/22.27 (assume a5496 (tptp.ordered_ab_group_add tptp.real))
% 22.01/22.27 (assume a5497 (tptp.cancel_semigroup_add tptp.real))
% 22.01/22.27 (assume a5498 (tptp.linordered_semiring tptp.real))
% 22.01/22.27 (assume a5499 (tptp.real_algebra_1 tptp.real))
% 22.01/22.27 (assume a5500 (tptp.field_inverse_zero tptp.real))
% 22.01/22.27 (assume a5501 (tptp.linordered_semidom tptp.real))
% 22.01/22.27 (assume a5502 (tptp.dense_linorder tptp.real))
% 22.01/22.27 (assume a5503 (tptp.ab_semigroup_mult tptp.real))
% 22.01/22.27 (assume a5504 (tptp.sgn_div_norm tptp.real))
% 22.01/22.27 (assume a5505 (tptp.real_algebra tptp.real))
% 22.01/22.27 (assume a5506 (tptp.metric_space tptp.real))
% 22.01/22.27 (assume a5507 (tptp.comm_monoid_mult tptp.real))
% 22.01/22.27 (assume a5508 (tptp.ab_semigroup_add tptp.real))
% 22.01/22.27 (assume a5509 (tptp.linordered_field tptp.real))
% 22.01/22.27 (assume a5510 (tptp.ordered_semiring tptp.real))
% 22.01/22.27 (assume a5511 (tptp.ordered_ring_abs tptp.real))
% 22.01/22.27 (assume a5512 (tptp.no_zero_divisors tptp.real))
% 22.01/22.27 (assume a5513 (tptp.real_vector tptp.real))
% 22.01/22.27 (assume a5514 (tptp.comm_monoid_add tptp.real))
% 22.01/22.27 (assume a5515 (tptp.linordered_ring tptp.real))
% 22.01/22.27 (assume a5516 (tptp.linordered_idom tptp.real))
% 22.01/22.27 (assume a5517 (tptp.comm_semiring_1 tptp.real))
% 22.01/22.27 (assume a5518 (tptp.comm_semiring_0 tptp.real))
% 22.01/22.27 (assume a5519 (tptp.real_field tptp.real))
% 22.01/22.27 (assume a5520 (tptp.dist_norm tptp.real))
% 22.01/22.27 (assume a5521 (tptp.division_ring tptp.real))
% 22.01/22.27 (assume a5522 (tptp.comm_semiring tptp.real))
% 22.01/22.27 (assume a5523 (tptp.t2_space tptp.real))
% 22.01/22.27 (assume a5524 (tptp.semiring_char_0 tptp.real))
% 22.01/22.27 (assume a5525 (tptp.number_semiring tptp.real))
% 22.01/22.27 (assume a5526 (tptp.ab_group_add tptp.real))
% 22.01/22.27 (assume a5527 (tptp.zero_neq_one tptp.real))
% 22.01/22.27 (assume a5528 (tptp.ordered_ring tptp.real))
% 22.01/22.27 (assume a5529 (tptp.preorder tptp.real))
% 22.01/22.27 (assume a5530 (tptp.linorder tptp.real))
% 22.01/22.27 (assume a5531 (tptp.monoid_mult tptp.real))
% 22.01/22.27 (assume a5532 (tptp.comm_ring_1 tptp.real))
% 22.01/22.27 (assume a5533 (tptp.monoid_add tptp.real))
% 22.01/22.27 (assume a5534 (tptp.semiring_1 tptp.real))
% 22.01/22.27 (assume a5535 (tptp.semiring_0 tptp.real))
% 22.01/22.27 (assume a5536 (tptp.field_char_0 tptp.real))
% 22.01/22.27 (assume a5537 (tptp.group_add tptp.real))
% 22.01/22.27 (assume a5538 (tptp.mult_zero tptp.real))
% 22.01/22.27 (assume a5539 (tptp.comm_ring tptp.real))
% 22.01/22.27 (assume a5540 (tptp.order tptp.real))
% 22.01/22.27 (assume a5541 (tptp.ring_char_0 tptp.real))
% 22.01/22.27 (assume a5542 (tptp.number_ring tptp.real))
% 22.01/22.27 (assume a5543 (tptp.semiring tptp.real))
% 22.01/22.27 (assume a5544 (tptp.inverse tptp.real))
% 22.01/22.27 (assume a5545 (tptp.ord tptp.real))
% 22.01/22.27 (assume a5546 (tptp.uminus tptp.real))
% 22.01/22.27 (assume a5547 (tptp.sgn_if tptp.real))
% 22.01/22.27 (assume a5548 (tptp.abs_if tptp.real))
% 22.01/22.27 (assume a5549 (tptp.ring_1 tptp.real))
% 22.01/22.27 (assume a5550 (tptp.minus tptp.real))
% 22.01/22.27 (assume a5551 (tptp.field tptp.real))
% 22.01/22.27 (assume a5552 (tptp.power tptp.real))
% 22.01/22.27 (assume a5553 (tptp.zero tptp.real))
% 22.01/22.27 (assume a5554 (tptp.plus tptp.real))
% 22.01/22.27 (assume a5555 (tptp.banach tptp.real))
% 22.01/22.27 (assume a5556 (tptp.ring tptp.real))
% 22.01/22.27 (assume a5557 (tptp.idom tptp.real))
% 22.01/22.27 (assume a5558 (tptp.number tptp.real))
% 22.01/22.27 (assume a5559 (tptp.one tptp.real))
% 22.01/22.27 (assume a5560 (tptp.dvd tptp.real))
% 22.01/22.27 (assume a5561 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (and (tptp.finite_finite T_1) (tptp.finite_finite T_2)) (tptp.finite_finite (tptp.sum_sum T_2 T_1)))))
% 22.01/22.27 (assume a5562 (forall ((T_1 $$unsorted)) (tptp.comple44059174attice (tptp.filter T_1))))
% 22.01/22.27 (assume a5563 (forall ((T_1 $$unsorted)) (tptp.preorder (tptp.filter T_1))))
% 22.01/22.27 (assume a5564 (forall ((T_1 $$unsorted)) (tptp.order (tptp.filter T_1))))
% 22.01/22.27 (assume a5565 (forall ((T_1 $$unsorted)) (tptp.ord (tptp.filter T_1))))
% 22.01/22.27 (assume a5566 (tptp.semiri456707255roduct tptp.complex))
% 22.01/22.27 (assume a5567 (tptp.real_n1866405975lgebra tptp.complex))
% 22.01/22.27 (assume a5568 (tptp.divisi14063676e_zero tptp.complex))
% 22.01/22.27 (assume a5569 (tptp.real_n2089651433ebra_1 tptp.complex))
% 22.01/22.27 (assume a5570 (tptp.real_normed_algebra tptp.complex))
% 22.01/22.27 (assume a5571 (tptp.cancel146912293up_add tptp.complex))
% 22.01/22.27 (assume a5572 (tptp.ring_11004092258visors tptp.complex))
% 22.01/22.27 (assume a5573 (tptp.real_normed_vector tptp.complex))
% 22.01/22.27 (assume a5574 (tptp.topological_space tptp.complex))
% 22.01/22.27 (assume a5575 (tptp.real_normed_field tptp.complex))
% 22.01/22.27 (assume a5576 (tptp.ring_n68954251visors tptp.complex))
% 22.01/22.27 (assume a5577 (tptp.real_div_algebra tptp.complex))
% 22.01/22.27 (assume a5578 (tptp.cancel_semigroup_add tptp.complex))
% 22.01/22.27 (assume a5579 (tptp.real_algebra_1 tptp.complex))
% 22.01/22.27 (assume a5580 (tptp.field_inverse_zero tptp.complex))
% 22.01/22.27 (assume a5581 (tptp.ab_semigroup_mult tptp.complex))
% 22.01/22.27 (assume a5582 (tptp.sgn_div_norm tptp.complex))
% 22.01/22.27 (assume a5583 (tptp.real_algebra tptp.complex))
% 22.01/22.27 (assume a5584 (tptp.metric_space tptp.complex))
% 22.01/22.27 (assume a5585 (tptp.comm_monoid_mult tptp.complex))
% 22.01/22.27 (assume a5586 (tptp.ab_semigroup_add tptp.complex))
% 22.01/22.27 (assume a5587 (tptp.no_zero_divisors tptp.complex))
% 22.01/22.27 (assume a5588 (tptp.real_vector tptp.complex))
% 22.01/22.27 (assume a5589 (tptp.comm_monoid_add tptp.complex))
% 22.01/22.27 (assume a5590 (tptp.comm_semiring_1 tptp.complex))
% 22.01/22.27 (assume a5591 (tptp.comm_semiring_0 tptp.complex))
% 22.01/22.27 (assume a5592 (tptp.real_field tptp.complex))
% 22.01/22.27 (assume a5593 (tptp.dist_norm tptp.complex))
% 22.01/22.27 (assume a5594 (tptp.division_ring tptp.complex))
% 22.01/22.27 (assume a5595 (tptp.comm_semiring tptp.complex))
% 22.01/22.27 (assume a5596 (tptp.t2_space tptp.complex))
% 22.01/22.27 (assume a5597 (tptp.semiring_char_0 tptp.complex))
% 22.01/22.27 (assume a5598 (tptp.number_semiring tptp.complex))
% 22.01/22.27 (assume a5599 (tptp.ab_group_add tptp.complex))
% 22.01/22.27 (assume a5600 (tptp.zero_neq_one tptp.complex))
% 22.01/22.27 (assume a5601 (tptp.monoid_mult tptp.complex))
% 22.01/22.27 (assume a5602 (tptp.comm_ring_1 tptp.complex))
% 22.01/22.27 (assume a5603 (tptp.monoid_add tptp.complex))
% 22.01/22.27 (assume a5604 (tptp.semiring_1 tptp.complex))
% 22.01/22.27 (assume a5605 (tptp.semiring_0 tptp.complex))
% 22.01/22.27 (assume a5606 (tptp.field_char_0 tptp.complex))
% 22.01/22.27 (assume a5607 (tptp.group_add tptp.complex))
% 22.01/22.27 (assume a5608 (tptp.mult_zero tptp.complex))
% 22.01/22.27 (assume a5609 (tptp.comm_ring tptp.complex))
% 22.01/22.27 (assume a5610 (tptp.ring_char_0 tptp.complex))
% 22.01/22.27 (assume a5611 (tptp.number_ring tptp.complex))
% 22.01/22.27 (assume a5612 (tptp.semiring tptp.complex))
% 22.01/22.27 (assume a5613 (tptp.inverse tptp.complex))
% 22.01/22.27 (assume a5614 (tptp.uminus tptp.complex))
% 22.01/22.27 (assume a5615 (tptp.ring_1 tptp.complex))
% 22.01/22.27 (assume a5616 (tptp.minus tptp.complex))
% 22.01/22.27 (assume a5617 (tptp.field tptp.complex))
% 22.01/22.27 (assume a5618 (tptp.power tptp.complex))
% 22.01/22.27 (assume a5619 (tptp.zero tptp.complex))
% 22.01/22.27 (assume a5620 (tptp.plus tptp.complex))
% 22.01/22.27 (assume a5621 (tptp.banach tptp.complex))
% 22.01/22.27 (assume a5622 (tptp.ring tptp.complex))
% 22.01/22.27 (assume a5623 (tptp.idom tptp.complex))
% 22.01/22.27 (assume a5624 (tptp.number tptp.complex))
% 22.01/22.27 (assume a5625 (tptp.one tptp.complex))
% 22.01/22.27 (assume a5626 (tptp.dvd tptp.complex))
% 22.01/22.27 (assume a5627 (forall ((T_2 $$unsorted) (T_1 $$unsorted)) (=> (and (tptp.finite_finite T_1) (tptp.finite_finite T_2)) (tptp.finite_finite (tptp.product_prod T_2 T_1)))))
% 22.01/22.27 (assume a5628 (tptp.ordere223160158up_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5629 (tptp.ordere236663937imp_le tptp.code_code_numeral))
% 22.01/22.27 (assume a5630 (tptp.linord893533164strict tptp.code_code_numeral))
% 22.01/22.27 (assume a5631 (tptp.linord20386208strict tptp.code_code_numeral))
% 22.01/22.27 (assume a5632 (tptp.ordere779506340up_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5633 (tptp.ordere216010020id_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5634 (tptp.cancel146912293up_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5635 (tptp.ordere453448008miring tptp.code_code_numeral))
% 22.01/22.27 (assume a5636 (tptp.ordere1490568538miring tptp.code_code_numeral))
% 22.01/22.27 (assume a5637 (tptp.cancel_semigroup_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5638 (tptp.linordered_semiring tptp.code_code_numeral))
% 22.01/22.27 (assume a5639 (tptp.linordered_semidom tptp.code_code_numeral))
% 22.01/22.27 (assume a5640 (tptp.ab_semigroup_mult tptp.code_code_numeral))
% 22.01/22.27 (assume a5641 (tptp.comm_monoid_mult tptp.code_code_numeral))
% 22.01/22.27 (assume a5642 (tptp.ab_semigroup_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5643 (tptp.ordered_semiring tptp.code_code_numeral))
% 22.01/22.27 (assume a5644 (tptp.no_zero_divisors tptp.code_code_numeral))
% 22.01/22.27 (assume a5645 (tptp.comm_monoid_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5646 (tptp.comm_semiring_1 tptp.code_code_numeral))
% 22.01/22.27 (assume a5647 (tptp.comm_semiring_0 tptp.code_code_numeral))
% 22.01/22.27 (assume a5648 (tptp.semiring_div tptp.code_code_numeral))
% 22.01/22.27 (assume a5649 (tptp.comm_semiring tptp.code_code_numeral))
% 22.01/22.27 (assume a5650 (tptp.semiring_char_0 tptp.code_code_numeral))
% 22.01/22.27 (assume a5651 (tptp.zero_neq_one tptp.code_code_numeral))
% 22.01/22.27 (assume a5652 (tptp.preorder tptp.code_code_numeral))
% 22.01/22.27 (assume a5653 (tptp.linorder tptp.code_code_numeral))
% 22.01/22.27 (assume a5654 (tptp.monoid_mult tptp.code_code_numeral))
% 22.01/22.27 (assume a5655 (tptp.monoid_add tptp.code_code_numeral))
% 22.01/22.27 (assume a5656 (tptp.semiring_1 tptp.code_code_numeral))
% 22.01/22.27 (assume a5657 (tptp.semiring_0 tptp.code_code_numeral))
% 22.01/22.27 (assume a5658 (tptp.mult_zero tptp.code_code_numeral))
% 22.01/22.27 (assume a5659 (tptp.order tptp.code_code_numeral))
% 22.01/22.27 (assume a5660 (tptp.semiring tptp.code_code_numeral))
% 22.01/22.27 (assume a5661 (tptp.ord tptp.code_code_numeral))
% 22.01/22.27 (assume a5662 (tptp.minus tptp.code_code_numeral))
% 22.01/22.27 (assume a5663 (tptp.power tptp.code_code_numeral))
% 22.01/22.27 (assume a5664 (tptp.zero tptp.code_code_numeral))
% 22.01/22.27 (assume a5665 (tptp.plus tptp.code_code_numeral))
% 22.01/22.27 (assume a5666 (tptp.number tptp.code_code_numeral))
% 22.01/22.27 (assume a5667 (tptp.one tptp.code_code_numeral))
% 22.01/22.27 (assume a5668 (tptp.dvd tptp.code_code_numeral))
% 22.01/22.27 (assume a5669 (tptp.ordere223160158up_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5670 (tptp.ordere236663937imp_le tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5671 (tptp.linord893533164strict tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5672 (tptp.linord20386208strict tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5673 (tptp.ordere779506340up_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5674 (tptp.ordere216010020id_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5675 (tptp.cancel146912293up_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5676 (tptp.ordere453448008miring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5677 (tptp.ordere1490568538miring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5678 (tptp.cancel_semigroup_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5679 (tptp.linordered_semiring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5680 (tptp.linordered_semidom tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5681 (tptp.ab_semigroup_mult tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5682 (tptp.comm_monoid_mult tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5683 (tptp.ab_semigroup_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5684 (tptp.ordered_semiring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5685 (tptp.no_zero_divisors tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5686 (tptp.comm_monoid_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5687 (tptp.comm_semiring_1 tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5688 (tptp.comm_semiring_0 tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5689 (tptp.semiring_div tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5690 (tptp.comm_semiring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5691 (tptp.semiring_char_0 tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5692 (tptp.zero_neq_one tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5693 (tptp.preorder tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5694 (tptp.linorder tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5695 (tptp.monoid_mult tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5696 (tptp.monoid_add tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5697 (tptp.semiring_1 tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5698 (tptp.semiring_0 tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5699 (tptp.mult_zero tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5700 (tptp.order tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5701 (tptp.semiring tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5702 (tptp.ord tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5703 (tptp.minus tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5704 (tptp.power tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5705 (tptp.zero tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5706 (tptp.plus tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5707 (tptp.number tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5708 (tptp.one tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5709 (tptp.dvd tptp.quickcheck_code_int))
% 22.01/22.27 (assume a5710 (forall ((T $$unsorted) (A $$unsorted)) (= (tptp.ti T (tptp.ti T A)) (tptp.ti T A))))
% 22.01/22.27 (assume a5711 (forall ((X_a $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) tptp.fTrue) X) Y) (tptp.ti X_a X))))
% 22.01/22.27 (assume a5712 (forall ((X_a $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.hAPP tptp.bool (tptp.fun X_a (tptp.fun X_a X_a)) (tptp.if X_a) tptp.fFalse) X) Y) (tptp.ti X_a Y))))
% 22.01/22.27 (assume a5713 (forall ((P $$unsorted)) (or (= (tptp.ti tptp.bool P) tptp.fTrue) (= (tptp.ti tptp.bool P) tptp.fFalse))))
% 22.01/22.27 (assume a5714 (forall ((X_a $$unsorted) (P $$unsorted) (X $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool P X))) (tptp.hBOOL (tptp.hAPP (tptp.fun X_a tptp.bool) tptp.bool (tptp.fEx X_a) P)))))
% 22.01/22.27 (assume a5715 (forall ((P $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot P))) (not (tptp.hBOOL P)))))
% 22.01/22.27 (assume a5716 (forall ((P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool tptp.fNot P)))))
% 22.01/22.27 (assume a5717 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP X_a X_c (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_b X_c) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combb X_b X_c X_a) P) Q) R) (tptp.hAPP X_b X_c P (tptp.hAPP X_a X_b Q R)))))
% 22.01/22.27 (assume a5718 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP X_a X_c (tptp.hAPP X_b (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun X_b (tptp.fun X_a X_c)) (tptp.combc X_a X_b X_c) P) Q) R) (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) P R) Q))))
% 22.01/22.27 (assume a5719 (forall ((X_a $$unsorted) (P $$unsorted)) (= (tptp.hAPP X_a X_a (tptp.combi X_a) P) (tptp.ti X_a P))))
% 22.01/22.27 (assume a5720 (forall ((X_b $$unsorted) (X_a $$unsorted) (P $$unsorted) (Q $$unsorted)) (= (tptp.hAPP X_b X_a (tptp.hAPP X_a (tptp.fun X_b X_a) (tptp.combk X_a X_b) P) Q) (tptp.ti X_a P))))
% 22.01/22.27 (assume a5721 (forall ((X_a $$unsorted) (X_c $$unsorted) (X_b $$unsorted) (P $$unsorted) (Q $$unsorted) (R $$unsorted)) (= (tptp.hAPP X_a X_c (tptp.hAPP (tptp.fun X_a X_b) (tptp.fun X_a X_c) (tptp.hAPP (tptp.fun X_a (tptp.fun X_b X_c)) (tptp.fun (tptp.fun X_a X_b) (tptp.fun X_a X_c)) (tptp.combs X_a X_b X_c) P) Q) R) (tptp.hAPP X_b X_c (tptp.hAPP X_a (tptp.fun X_b X_c) P R) (tptp.hAPP X_a X_b Q R)))))
% 22.01/22.27 (assume a5722 (tptp.hBOOL tptp.fTrue))
% 22.01/22.27 (assume a5723 (forall ((P $$unsorted)) (or (= (tptp.ti tptp.bool P) tptp.fTrue) (= (tptp.ti tptp.bool P) tptp.fFalse))))
% 22.01/22.27 (assume a5724 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q)))))
% 22.01/22.27 (assume a5725 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q))) (tptp.hBOOL P))))
% 22.01/22.27 (assume a5726 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fconj P) Q))) (tptp.hBOOL Q))))
% 22.01/22.27 (assume a5727 (forall ((Q $$unsorted) (P $$unsorted)) (or (not (tptp.hBOOL P)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q)))))
% 22.01/22.27 (assume a5728 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q)))))
% 22.01/22.27 (assume a5729 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fdisj P) Q))) (tptp.hBOOL P) (tptp.hBOOL Q))))
% 22.01/22.27 (assume a5730 (not (tptp.hBOOL tptp.fFalse)))
% 22.01/22.27 (assume a5731 (forall ((P $$unsorted)) (or (= (tptp.ti tptp.bool P) tptp.fTrue) (= (tptp.ti tptp.bool P) tptp.fFalse))))
% 22.01/22.27 (assume a5732 (forall ((X_a $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) X) Y))) (= (tptp.ti X_a X) (tptp.ti X_a Y)))))
% 22.01/22.27 (assume a5733 (forall ((X_a $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.ti X_a X) (tptp.ti X_a Y))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.fequal X_a) X) Y)))))
% 22.01/22.27 (assume a5734 (forall ((Q $$unsorted) (P $$unsorted)) (or (tptp.hBOOL P) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fimplies P) Q)))))
% 22.01/22.27 (assume a5735 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL Q)) (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fimplies P) Q)))))
% 22.01/22.27 (assume a5736 (forall ((P $$unsorted) (Q $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP tptp.bool tptp.bool (tptp.hAPP tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.fimplies P) Q))) (not (tptp.hBOOL P)) (tptp.hBOOL Q))))
% 22.01/22.27 (assume a5737 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))
% 22.01/22.27 (assume a5738 true)
% 22.01/22.27 (step t1 (cl (not (= (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))))) (not (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule equiv_pos2)
% 22.01/22.27 (step t2 (cl (= (= (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) true) (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule equiv_simplify)
% 22.01/22.27 (step t3 (cl (not (= (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) true)) (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule equiv1 :premises (t2))
% 22.01/22.27 (step t4 (cl (= (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))))) :rule all_simplify)
% 22.01/22.27 (step t5 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule refl)
% 22.01/22.27 (step t6 (cl (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule all_simplify)
% 22.01/22.27 (step t7 (cl (= (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule cong :premises (t5 t6))
% 22.01/22.27 (step t8 (cl (= (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) true)) :rule all_simplify)
% 22.01/22.27 (step t9 (cl (= (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) true)) :rule trans :premises (t7 t8))
% 22.01/22.27 (step t10 (cl (= (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) true)) :rule trans :premises (t4 t9))
% 22.01/22.27 (step t11 (cl (= (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule resolution :premises (t3 t10))
% 22.01/22.27 (step t12 (cl (= (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))))) :rule refl)
% 22.01/22.27 (step t13 (cl (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule refl)
% 22.01/22.27 (step t14 (cl (= (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))))) :rule cong :premises (t11 t12 t13))
% 22.01/22.27 (step t15 (cl (not (= (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))))) (not (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule equiv_pos2)
% 22.01/22.27 (step t16 (cl (= (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule refl)
% 22.01/22.27 (step t17 (cl (= (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))))) :rule equiv_simplify)
% 22.01/22.27 (step t18 (cl (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (not (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))))) :rule equiv2 :premises (t17))
% 22.01/22.27 (step t19 (cl (not (not (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule not_not)
% 22.01/22.27 (step t20 (cl (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t18 t19))
% 22.01/22.27 (step t21 (cl (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule implies_neg1)
% 22.01/22.27 (anchor :step t22)
% 22.01/22.27 (assume t22.a0 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))
% 22.01/22.27 (assume t22.a1 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))
% 22.01/22.27 (assume t22.a2 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))
% 22.01/22.27 (step t22.t1 (cl (not (= (= false true) false)) (not (= false true)) false) :rule equiv_pos2)
% 22.01/22.27 (step t22.t2 (cl (= (= false true) false)) :rule all_simplify)
% 22.01/22.27 (step t22.t3 (cl (= (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) false) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule equiv_simplify)
% 22.01/22.27 (step t22.t4 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) false) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule equiv2 :premises (t22.t3))
% 22.01/22.27 (step t22.t5 (cl (not (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) :rule not_not)
% 22.01/22.27 (step t22.t6 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) false) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) :rule resolution :premises (t22.t4 t22.t5))
% 22.01/22.27 (step t22.t7 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) false)) :rule resolution :premises (t22.t6 t22.a2))
% 22.01/22.27 (step t22.t8 (cl (= false (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule symm :premises (t22.t7))
% 22.01/22.27 (step t22.t9 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t22.t10 (cl (= tptp.bool tptp.bool)) :rule refl)
% 22.01/22.27 (step t22.t11 (cl (= (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) :rule refl)
% 22.01/22.27 (step t22.t12 (cl (= (tptp.ord_less tptp.int) (tptp.ord_less tptp.int))) :rule refl)
% 22.01/22.27 (step t22.t13 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)))) :rule symm :premises (t22.a1))
% 22.01/22.27 (step t22.t14 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule symm :premises (t22.t13))
% 22.01/22.27 (step t22.t15 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))) :rule cong :premises (t22.t9 t22.t11 t22.t12 t22.t14))
% 22.01/22.27 (step t22.t16 (cl (= (tptp.zero_zero tptp.int) (tptp.zero_zero tptp.int))) :rule refl)
% 22.01/22.27 (step t22.t17 (cl (= (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) :rule cong :premises (t22.t9 t22.t10 t22.t15 t22.t16))
% 22.01/22.27 (step t22.t18 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule cong :premises (t22.t17))
% 22.01/22.27 (step t22.t19 (cl (= (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) true) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule equiv_simplify)
% 22.01/22.27 (step t22.t20 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) true) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule equiv2 :premises (t22.t19))
% 22.01/22.27 (step t22.t21 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) true)) :rule resolution :premises (t22.t20 t22.a0))
% 22.01/22.27 (step t22.t22 (cl (= false true)) :rule trans :premises (t22.t8 t22.t18 t22.t21))
% 22.01/22.27 (step t22.t23 (cl false) :rule resolution :premises (t22.t1 t22.t2 t22.t22))
% 22.01/22.27 (step t22 (cl (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) :rule subproof :discharge (t22.a0 t22.a1 t22.a2))
% 22.01/22.27 (step t23 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) :rule and_pos)
% 22.01/22.27 (step t24 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule and_pos)
% 22.01/22.27 (step t25 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule and_pos)
% 22.01/22.27 (step t26 (cl false (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule resolution :premises (t22 t23 t24 t25))
% 22.01/22.27 (step t27 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) false) :rule reordering :premises (t26))
% 22.01/22.27 (step t28 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) false) :rule contraction :premises (t27))
% 22.01/22.27 (step t29 (cl (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) false) :rule resolution :premises (t21 t28))
% 22.01/22.27 (step t30 (cl (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (not false)) :rule implies_neg2)
% 22.01/22.27 (step t31 (cl (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false)) :rule resolution :premises (t29 t30))
% 22.01/22.27 (step t32 (cl (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false)) :rule contraction :premises (t31))
% 22.01/22.27 (step t33 (cl (= (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))))) :rule implies_simplify)
% 22.01/22.27 (step t34 (cl (not (=> (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false)) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule equiv1 :premises (t33))
% 22.01/22.27 (step t35 (cl (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule resolution :premises (t32 t34))
% 22.01/22.27 (step t36 (cl (= (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) false)) :rule resolution :premises (t20 t35))
% 22.01/22.27 (step t37 (cl (= (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) false))) :rule cong :premises (t16 t36))
% 22.01/22.27 (step t38 (cl (= (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) false) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))))) :rule all_simplify)
% 22.01/22.27 (step t39 (cl (= (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))))) :rule trans :premises (t37 t38))
% 22.01/22.27 (step t40 (cl (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule implies_neg1)
% 22.01/22.27 (anchor :step t41)
% 22.01/22.27 (assume t41.a0 (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))
% 22.01/22.27 (assume t41.a1 (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))
% 22.01/22.27 (assume t41.a2 (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))
% 22.01/22.27 (step t41.t1 (cl (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule and_neg)
% 22.01/22.27 (step t41.t2 (cl (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t41.t1 t41.a2 t41.a1 t41.a0))
% 22.01/22.27 (step t41 (cl (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule subproof :discharge (t41.a0 t41.a1 t41.a2))
% 22.01/22.27 (step t42 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule and_pos)
% 22.01/22.27 (step t43 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule and_pos)
% 22.01/22.27 (step t44 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) :rule and_pos)
% 22.01/22.27 (step t45 (cl (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t41 t42 t43 t44))
% 22.01/22.27 (step t46 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule reordering :premises (t45))
% 22.01/22.27 (step t47 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule contraction :premises (t46))
% 22.01/22.27 (step t48 (cl (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t40 t47))
% 22.01/22.27 (step t49 (cl (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule implies_neg2)
% 22.01/22.27 (step t50 (cl (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule resolution :premises (t48 t49))
% 22.01/22.27 (step t51 (cl (=> (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) (and (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule contraction :premises (t50))
% 22.01/22.27 (step t52 (cl (not (and (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t15 t39 t51))
% 22.01/22.27 (step t53 (cl (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule not_and :premises (t52))
% 22.01/22.27 (step t54 (cl (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))))) :rule or_neg)
% 22.01/22.27 (step t55 (cl (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))))) :rule or_neg)
% 22.01/22.27 (step t56 (cl (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule or_neg)
% 22.01/22.27 (step t57 (cl (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t53 t54 t55 t56))
% 22.01/22.27 (step t58 (cl (or (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule contraction :premises (t57))
% 22.01/22.27 (step t59 (cl (or (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t1 t14 t58))
% 22.01/22.27 (step t60 (cl (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule or :premises (t59))
% 22.01/22.27 (step t61 (cl (not (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) :rule or_pos)
% 22.01/22.27 (step t62 (cl (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.linord20386208strict tptp.int)) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))) (not (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule reordering :premises (t61))
% 22.01/22.27 (step t63 (cl (not (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int)))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) :rule equiv_pos2)
% 22.01/22.27 (step t64 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t65 (cl (= tptp.bool tptp.bool)) :rule refl)
% 22.01/22.27 (step t66 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)))) :rule refl)
% 22.01/22.27 (step t67 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t68 (cl (= (tptp.plus_plus tptp.int) (tptp.plus_plus tptp.int))) :rule refl)
% 22.01/22.27 (step t69 (cl (= (tptp.times_times tptp.int) (tptp.times_times tptp.int))) :rule refl)
% 22.01/22.27 (step t70 (cl (= (tptp.number_number_of tptp.int) (tptp.number_number_of tptp.int))) :rule refl)
% 22.01/22.27 (step t71 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.27 (step t72 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.27 (step t73 (cl (and (= tptp.pred_nat (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.collect (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod_case tptp.nat tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.fequal tptp.nat))) tptp.suc)))) (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.pred_nat (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.collect (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod_case tptp.nat tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.fequal tptp.nat))) tptp.suc))))) (not (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) (not (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))))) (not (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) (not (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff))) (not (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int)))) (not (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))))))) (not (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int)))))) (not (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (not (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) (not (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.27 (step t74 (cl (not (= (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))))) (not (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))))) (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) :rule equiv_pos2)
% 22.01/22.27 (step t75 (cl (= tptp.zEven tptp.zEven)) :rule refl)
% 22.01/22.27 (step t76 (cl (= (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) :rule refl)
% 22.01/22.27 (step t77 (cl (= (tptp.collect tptp.int) (tptp.collect tptp.int))) :rule refl)
% 22.01/22.27 (step t78 (cl (= (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) :rule refl)
% 22.01/22.27 (step t79 (cl (= (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)))) :rule refl)
% 22.01/22.27 (step t80 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t81 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))))) :rule refl)
% 22.01/22.27 (step t82 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t83 (cl (= (tptp.times_times tptp.int) (tptp.times_times tptp.int))) :rule refl)
% 22.01/22.27 (step t84 (cl (= (tptp.number_number_of tptp.int) (tptp.number_number_of tptp.int))) :rule refl)
% 22.01/22.27 (step t85 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.27 (step t86 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.27 (step t87 (cl (and (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))))) (not (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) (not (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff))) (not (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int)))) (not (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))))))) (not (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int)))))) (not (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (not (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) (not (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.27 (step t88 (cl (not (= (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)))))) (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))))) (not (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int))))))) (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))))) :rule equiv_pos2)
% 22.01/22.27 (step t89 (cl (= tptp.zOdd tptp.zOdd)) :rule refl)
% 22.01/22.27 (step t90 (cl (= (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) :rule refl)
% 22.01/22.27 (step t91 (cl (= (tptp.collect tptp.int) (tptp.collect tptp.int))) :rule refl)
% 22.01/22.27 (step t92 (cl (= (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) :rule refl)
% 22.01/22.27 (step t93 (cl (= (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)))) :rule refl)
% 22.01/22.27 (step t94 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t95 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))))) :rule refl)
% 22.01/22.27 (step t96 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t97 (cl (= (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)))) :rule refl)
% 22.01/22.27 (step t98 (cl (= (tptp.combc tptp.int tptp.int tptp.int) (tptp.combc tptp.int tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t99 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)))) :rule refl)
% 22.01/22.27 (step t100 (cl (= (tptp.times_times tptp.int) (tptp.times_times tptp.int))) :rule refl)
% 22.01/22.27 (step t101 (cl (= (tptp.number_number_of tptp.int) (tptp.number_number_of tptp.int))) :rule refl)
% 22.01/22.27 (step t102 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.27 (step t103 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.27 (step t104 (cl (and (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) (not (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff))) (not (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int)))) (not (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int 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(tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))))))) (not (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int)))))) (not (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (not (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) (not (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.27 (step t105 (cl (not (= (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))))) (not (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) :rule equiv_pos2)
% 22.01/22.27 (step t106 (cl (= tptp.pi tptp.pi)) :rule refl)
% 22.01/22.27 (step t107 (cl (= tptp.real tptp.real)) :rule refl)
% 22.01/22.27 (step t108 (cl (= (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real))) :rule refl)
% 22.01/22.27 (step t109 (cl (= (tptp.times_times tptp.real) (tptp.times_times tptp.real))) :rule refl)
% 22.01/22.27 (step t110 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t111 (cl (= (tptp.number_number_of tptp.real) (tptp.number_number_of tptp.real))) :rule refl)
% 22.01/22.27 (step t112 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.27 (step t113 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.27 (step t114 (cl (and (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff))) (not (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int)))) (not (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) 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(tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))))))) (not (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int)))))) (not (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (not (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) (not (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.27 (step t115 (cl (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff))) :rule symm :premises (a4389))
% 22.01/22.27 (step t116 (cl (not (= (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) (not (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule equiv_pos2)
% 22.01/22.27 (step t117 (cl (= tptp.twoSqu1094008024sum2sq tptp.twoSqu1094008024sum2sq)) :rule refl)
% 22.01/22.27 (step t118 (cl (= (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)))) :rule refl)
% 22.01/22.27 (step t119 (cl (= (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) :rule refl)
% 22.01/22.27 (step t120 (cl (= (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t121 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.01/22.27 (step t122 (cl (= (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))))) :rule refl)
% 22.01/22.27 (step t123 (cl (= (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))))) :rule refl)
% 22.01/22.27 (step t124 (cl (= (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) :rule refl)
% 22.01/22.27 (step t125 (cl (= (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)))) :rule refl)
% 22.01/22.27 (step t126 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)))) :rule refl)
% 22.01/22.27 (step t127 (cl (= tptp.nat tptp.nat)) :rule refl)
% 22.01/22.27 (step t128 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)))) :rule refl)
% 22.01/22.27 (step t129 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t130 (cl (= (tptp.number_number_of tptp.nat) (tptp.number_number_of tptp.nat))) :rule refl)
% 22.01/22.27 (step t131 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.27 (step t132 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.27 (step t133 (cl (and (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) (not (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real)))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.27 (step t134 (cl (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int))) :rule symm :premises (a3810))
% 22.01/22.27 (step t135 (cl (not (= (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (not (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule equiv_pos2)
% 22.01/22.27 (step t136 (cl (= tptp.sqrt tptp.sqrt)) :rule refl)
% 22.01/22.27 (step t137 (cl (= tptp.nat tptp.nat)) :rule refl)
% 22.01/22.27 (step t138 (cl (= (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real tptp.real))) :rule refl)
% 22.01/22.27 (step t139 (cl (= tptp.root tptp.root)) :rule refl)
% 22.01/22.27 (step t140 (cl (= tptp.int tptp.int)) :rule refl)
% 22.01/22.27 (step t141 (cl (= (tptp.number_number_of tptp.nat) (tptp.number_number_of tptp.nat))) :rule refl)
% 22.01/22.28 (step t142 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.01/22.28 (step t143 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.01/22.28 (step t144 (cl (and (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int))) (not (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int)))) (not (= tptp.pls (tptp.zero_zero tptp.int)))) :rule and_neg)
% 22.01/22.28 (step t145 (cl (and (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t144 a2429 a395))
% 22.01/22.28 (step t146 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t145))
% 22.01/22.28 (step t147 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t140 t140 t143 t146))
% 22.01/22.28 (step t148 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t140 t140 t142 t147))
% 22.01/22.28 (step t149 (cl (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t140 t137 t141 t148))
% 22.01/22.28 (step t150 (cl (= (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t137 t138 t139 t149))
% 22.01/22.28 (step t151 (cl (= (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t136 t150))
% 22.01/22.28 (step t152 (cl (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule resolution :premises (t135 t151 a2986))
% 22.01/22.28 (step t153 (cl (and (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t133 t134 a3037 t152 a2429 a395))
% 22.01/22.28 (step t154 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t153))
% 22.01/22.28 (step t155 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t129 t129 t132 t154))
% 22.01/22.28 (step t156 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t129 t129 t131 t155))
% 22.01/22.28 (step t157 (cl (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t129 t127 t130 t156))
% 22.01/22.28 (step t158 (cl (= (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t127 t121 t128 t157))
% 22.01/22.28 (step t159 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t121 t118 t126 t158))
% 22.01/22.28 (step t160 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule cong :premises (t118 t122 t125 t159))
% 22.01/22.28 (step t161 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) :rule cong :premises (t122 t123 t124 t160))
% 22.01/22.28 (step t162 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t121 t118 t161 t158))
% 22.01/22.28 (step t163 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule cong :premises (t118 t119 t120 t162))
% 22.01/22.28 (step t164 (cl (= (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) :rule cong :premises (t117 t163))
% 22.01/22.28 (step t165 (cl (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule resolution :premises (t116 t164 a4304))
% 22.01/22.28 (step t166 (cl (and (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) 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(tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int 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(tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t114 t115 a4340 a4323 a4309 t165 t134 a3037 t152 a2429 a395))
% 22.01/22.28 (step t167 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t166))
% 22.01/22.28 (step t168 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t110 t110 t113 t167))
% 22.01/22.28 (step t169 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t110 t110 t112 t168))
% 22.01/22.28 (step t170 (cl (= (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t110 t107 t111 t169))
% 22.01/22.28 (step t171 (cl (= (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t107 t108 t109 t170))
% 22.01/22.28 (step t172 (cl (= (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool))) :rule refl)
% 22.01/22.28 (step t173 (cl (= (tptp.the tptp.real) (tptp.the tptp.real))) :rule refl)
% 22.01/22.28 (step t174 (cl (= (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))))) :rule refl)
% 22.01/22.28 (step t175 (cl (= (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)))) :rule refl)
% 22.01/22.28 (step t176 (cl (= (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)))) :rule refl)
% 22.01/22.28 (step t177 (cl (= (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.combs tptp.real tptp.bool tptp.bool))) :rule refl)
% 22.01/22.28 (step t178 (cl (= (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj))) :rule refl)
% 22.01/22.28 (step t179 (cl (= (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)))) :rule refl)
% 22.01/22.28 (step t180 (cl (= (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t107 t172 t179 t170))
% 22.01/22.28 (step t181 (cl (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t172 t175 t178 t180))
% 22.01/22.28 (step t182 (cl (= (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule cong :premises (t175 t176 t177 t181))
% 22.01/22.28 (step t183 (cl (= (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))) :rule refl)
% 22.01/22.28 (step t184 (cl (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))) :rule cong :premises (t172 t172 t182 t183))
% 22.01/22.28 (step t185 (cl (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))) :rule cong :premises (t172 t172 t174 t184))
% 22.01/22.28 (step t186 (cl (= (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) :rule cong :premises (t172 t107 t173 t185))
% 22.01/22.28 (step t187 (cl (= (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))) (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) :rule cong :premises (t107 t107 t171 t186))
% 22.01/22.28 (step t188 (cl (= (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))))) :rule cong :premises (t106 t187))
% 22.01/22.28 (step t189 (cl (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real)))))))) :rule resolution :premises (t105 t188 a4410))
% 22.01/22.28 (step t190 (cl (and (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t104 t189 t115 a4340 a4323 a4309 t165 t134 a3037 t152 a2429 a395))
% 22.01/22.28 (step t191 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t190))
% 22.01/22.28 (step t192 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t96 t96 t103 t191))
% 22.01/22.28 (step t193 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t96 t96 t102 t192))
% 22.01/22.28 (step t194 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t96 t96 t101 t193))
% 22.01/22.28 (step t195 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t96 t94 t100 t194))
% 22.01/22.28 (step t196 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t94 t97 t99 t195))
% 22.01/22.28 (step t197 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule cong :premises (t97 t97 t98 t196))
% 22.01/22.28 (step t198 (cl (= (tptp.one_one tptp.int) (tptp.one_one tptp.int))) :rule refl)
% 22.01/22.28 (step t199 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))) :rule cong :premises (t96 t94 t197 t198))
% 22.01/22.28 (step t200 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))) :rule cong :premises (t94 t92 t95 t199))
% 22.01/22.28 (step t201 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))) :rule cong :premises (t92 t90 t93 t200))
% 22.04/22.28 (step t202 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int))))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))))) :rule cong :premises (t90 t90 t91 t201))
% 22.04/22.28 (step t203 (cl (= (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.one_one tptp.int)))))) (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))))) :rule cong :premises (t89 t202))
% 22.04/22.28 (step t204 (cl (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int))))))) :rule resolution :premises (t88 t203 a4693))
% 22.04/22.28 (step t205 (cl (and (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t87 t204 t189 t115 a4340 a4323 a4309 t165 t134 a3037 t152 a2429 a395))
% 22.04/22.28 (step t206 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t205))
% 22.04/22.28 (step t207 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t82 t82 t86 t206))
% 22.04/22.28 (step t208 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t82 t82 t85 t207))
% 22.04/22.28 (step t209 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t82 t82 t84 t208))
% 22.04/22.28 (step t210 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t82 t80 t83 t209))
% 22.04/22.28 (step t211 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t80 t78 t81 t210))
% 22.04/22.28 (step t212 (cl (= (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) :rule cong :premises (t78 t76 t79 t211))
% 22.04/22.28 (step t213 (cl (= (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))))) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) :rule cong :premises (t76 t76 t77 t212))
% 22.04/22.28 (step t214 (cl (= (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))))))) (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))))) :rule cong :premises (t75 t213))
% 22.04/22.28 (step t215 (cl (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))))) :rule resolution :premises (t74 t214 a4697))
% 22.04/22.28 (step t216 (cl (and (= tptp.pred_nat (tptp.hAPP (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.collect (tptp.product_prod tptp.nat tptp.nat)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.product_prod tptp.nat tptp.nat) tptp.bool) (tptp.product_prod_case tptp.nat tptp.nat tptp.bool) (tptp.hAPP (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun (tptp.fun tptp.nat tptp.nat) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool))) (tptp.combb tptp.nat (tptp.fun tptp.nat tptp.bool) tptp.nat) (tptp.hAPP (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.fun tptp.nat (tptp.fun tptp.nat tptp.bool)) (tptp.combc tptp.nat tptp.nat tptp.bool) (tptp.fequal tptp.nat))) tptp.suc)))) (= tptp.zEven (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))))) (= tptp.zOdd (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) (tptp.collect tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) tptp.bool) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int tptp.bool)) (tptp.combb (tptp.fun tptp.int tptp.bool) tptp.bool tptp.int) (tptp.fEx tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combb tptp.int tptp.bool tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.one_one tptp.int)))))) (= tptp.pi (tptp.hAPP tptp.real tptp.real (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.real) (tptp.times_times tptp.real) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) tptp.real (tptp.the tptp.real) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.ord_less_eq tptp.real) (tptp.zero_zero tptp.real)))) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real tptp.bool)) (tptp.combs tptp.real tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.bool) (tptp.fun tptp.real (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.real) tptp.fconj) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.ord_less_eq tptp.real)) (tptp.hAPP tptp.int tptp.real (tptp.number_number_of tptp.real) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.combc tptp.real tptp.real tptp.bool) (tptp.hAPP (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.hAPP (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool)) (tptp.fun (tptp.fun tptp.real tptp.real) (tptp.fun tptp.real (tptp.fun tptp.real tptp.bool))) (tptp.combb tptp.real (tptp.fun tptp.real tptp.bool) tptp.real) (tptp.fequal tptp.real)) tptp.cos)) (tptp.zero_zero tptp.real))))))) (= tptp.cos_coeff (tptp.hAPP (tptp.fun tptp.nat tptp.real) (tptp.fun tptp.nat tptp.real) (tptp.diffs tptp.real) tptp.sin_coeff)) (= tptp.negateSnd (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.product_apsnd tptp.int tptp.int tptp.int) (tptp.uminus_uminus tptp.int))) (= tptp.ratrel (tptp.hAPP (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.collect (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) tptp.bool) (tptp.product_prod_case (tptp.product_prod tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.bool tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) (tptp.product_prod tptp.int tptp.int)) tptp.fconj) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun tptp.bool tptp.bool) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combb tptp.bool tptp.bool (tptp.product_prod tptp.int tptp.int)) tptp.fNot) (tptp.hAPP tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int)) (tptp.product_snd tptp.int tptp.int))) (tptp.zero_zero tptp.int)))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.combs (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.combs (tptp.product_prod tptp.int tptp.int) tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool)) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) (tptp.product_prod tptp.int tptp.int)) (tptp.fequal tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combc (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.product_prod tptp.int tptp.int)) (tptp.combb tptp.int tptp.int (tptp.product_prod tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int))))) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int))) (tptp.combb tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int)) (tptp.combc (tptp.product_prod tptp.int tptp.int) tptp.int tptp.int) (tptp.hAPP (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.fun (tptp.product_prod tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) (tptp.product_prod tptp.int tptp.int)) (tptp.times_times tptp.int)) (tptp.product_fst tptp.int tptp.int)))) (tptp.product_snd tptp.int tptp.int)))))))) (= tptp.frac_1 (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.bool) (tptp.product_prod_case tptp.int tptp.int tptp.bool) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool)) (tptp.combs tptp.int tptp.bool tptp.bool) (tptp.hAPP (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool)) (tptp.hAPP (tptp.fun tptp.bool (tptp.fun tptp.bool tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int (tptp.fun tptp.bool tptp.bool))) (tptp.combb tptp.bool (tptp.fun tptp.bool tptp.bool) tptp.int) tptp.fconj) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int))))) (tptp.hAPP tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combc tptp.int tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.combc tptp.int tptp.int tptp.bool)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.bool))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.bool) tptp.int) (tptp.fequal tptp.int))) tptp.int_gcd))) (tptp.one_one tptp.int))))) (= tptp.twoSqu1094008024sum2sq (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.product_prod tptp.int tptp.int) tptp.int) (tptp.product_prod_case tptp.int tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combc tptp.int (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.hAPP (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) (tptp.fun (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun tptp.int (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)))) (tptp.combb (tptp.fun tptp.int tptp.int) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int)) tptp.int) (tptp.combb tptp.int tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.int tptp.int)) (tptp.fun (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int (tptp.fun tptp.int tptp.int))) (tptp.combb tptp.int (tptp.fun tptp.int tptp.int) tptp.int) (tptp.plus_plus tptp.int)) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (tptp.hAPP tptp.nat (tptp.fun tptp.int tptp.int) (tptp.hAPP (tptp.fun tptp.int (tptp.fun tptp.nat tptp.int)) (tptp.fun tptp.nat (tptp.fun tptp.int tptp.int)) (tptp.combc tptp.int tptp.nat tptp.int) (tptp.power_power tptp.int)) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) (= tptp.quickcheck_of_int (tptp.number_number_of tptp.quickcheck_code_int)) (= tptp.ii (tptp.hAPP tptp.real tptp.complex (tptp.hAPP tptp.real (tptp.fun tptp.real tptp.complex) tptp.complex_1 (tptp.zero_zero tptp.real)) (tptp.one_one tptp.real))) (= tptp.sqrt (tptp.hAPP tptp.nat (tptp.fun tptp.real tptp.real) tptp.root (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (= tptp.min_1 (tptp.hAPP tptp.int tptp.int (tptp.uminus_uminus tptp.int) (tptp.one_one tptp.int))) (= tptp.pls (tptp.zero_zero tptp.int)))) :rule resolution :premises (t73 a5040 t215 t204 t189 t115 a4340 a4323 a4309 t165 t134 a3037 t152 a2429 a395))
% 22.04/22.28 (step t217 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t216))
% 22.04/22.28 (step t218 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t64 t64 t72 t217))
% 22.04/22.28 (step t219 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t64 t64 t71 t218))
% 22.04/22.28 (step t220 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t64 t64 t71 t219))
% 22.04/22.28 (step t221 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t64 t64 t70 t220))
% 22.04/22.28 (step t222 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t64 t67 t69 t221))
% 22.04/22.28 (step t223 (cl (= tptp.m tptp.m)) :rule refl)
% 22.04/22.28 (step t224 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m))) :rule cong :premises (t64 t64 t222 t223))
% 22.04/22.28 (step t225 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)))) :rule cong :premises (t64 t67 t68 t224))
% 22.04/22.28 (step t226 (cl (= (tptp.one_one tptp.int) (tptp.one_one tptp.int))) :rule refl)
% 22.04/22.28 (step t227 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int)))) :rule cong :premises (t64 t64 t225 t226))
% 22.04/22.28 (step t228 (cl (= (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) :rule cong :premises (t64 t65 t66 t227))
% 22.04/22.28 (step t229 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int)))))) :rule cong :premises (t228))
% 22.04/22.28 (step t230 (cl (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) :rule resolution :premises (t63 t229 a278))
% 22.04/22.28 (step t231 (cl (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) :rule implies_neg1)
% 22.04/22.28 (anchor :step t232)
% 22.04/22.28 (assume t232.a0 (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))
% 22.04/22.28 (step t232.t1 (cl (or (not (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule forall_inst :args ((:= X_a tptp.int) (:= BOUND_VARIABLE_107866 (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) (:= BOUND_VARIABLE_107864 tptp.t)))
% 22.04/22.28 (step t232.t2 (cl (not (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule or :premises (t232.t1))
% 22.04/22.28 (step t232.t3 (cl (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule resolution :premises (t232.t2 t232.a0))
% 22.04/22.28 (step t232 (cl (not (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule subproof :discharge (t232.a0))
% 22.04/22.28 (step t233 (cl (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule resolution :premises (t231 t232))
% 22.04/22.28 (step t234 (cl (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (not (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule implies_neg2)
% 22.04/22.28 (step t235 (cl (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule resolution :premises (t233 t234))
% 22.04/22.28 (step t236 (cl (=> (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))))) :rule contraction :premises (t235))
% 22.04/22.28 (step t237 (cl (not (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule implies :premises (t236))
% 22.04/22.28 (step t238 (cl (not (= (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))) (not (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) :rule equiv_pos2)
% 22.04/22.28 (anchor :step t239 :args ((X_a $$unsorted) (:= X_a X_a)))
% 22.04/22.28 (step t239.t1 (cl (= X_a X_a)) :rule refl)
% 22.04/22.28 (step t239.t2 (cl (= (tptp.linord20386208strict X_a) (tptp.linord20386208strict X_a))) :rule refl)
% 22.04/22.28 (step t239.t3 (cl (= (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) :rule all_simplify)
% 22.04/22.28 (step t239.t4 (cl (= (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))) :rule cong :premises (t239.t2 t239.t3))
% 22.04/22.28 (step t239 (cl (= (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))) (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))))) :rule bind)
% 22.04/22.28 (step t240 (cl (= (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) (forall ((X_a $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))))) :rule all_simplify)
% 22.04/22.28 (step t241 (cl (= (forall ((X_a $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))))) :rule all_simplify)
% 22.04/22.28 (anchor :step t242 :args ((X_a $$unsorted) (:= X_a X_a) (BOUND_VARIABLE_107866 $$unsorted) (:= BOUND_VARIABLE_107866 BOUND_VARIABLE_107866) (BOUND_VARIABLE_107864 $$unsorted) (:= BOUND_VARIABLE_107864 BOUND_VARIABLE_107864)))
% 22.04/22.28 (step t242.t1 (cl (= X_a X_a)) :rule refl)
% 22.04/22.28 (step t242.t2 (cl (= BOUND_VARIABLE_107866 BOUND_VARIABLE_107866)) :rule refl)
% 22.04/22.28 (step t242.t3 (cl (= BOUND_VARIABLE_107864 BOUND_VARIABLE_107864)) :rule refl)
% 22.04/22.28 (step t242.t4 (cl (= (or (not (tptp.linord20386208strict X_a)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) :rule all_simplify)
% 22.04/22.28 (step t242 (cl (= (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))) :rule bind)
% 22.04/22.28 (step t243 (cl (= (forall ((X_a $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))) :rule trans :premises (t241 t242))
% 22.04/22.28 (step t244 (cl (= (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (or (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))) :rule trans :premises (t240 t243))
% 22.04/22.28 (step t245 (cl (= (forall ((X_a $$unsorted)) (=> (tptp.linord20386208strict X_a) (forall ((B $$unsorted) (A_1 $$unsorted)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) A_1)) (=> (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) B) (tptp.zero_zero X_a))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) A_1) B)) (tptp.zero_zero X_a)))))))) (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a))))))) :rule trans :premises (t239 t244))
% 22.04/22.28 (step t246 (cl (forall ((X_a $$unsorted) (BOUND_VARIABLE_107866 $$unsorted) (BOUND_VARIABLE_107864 $$unsorted)) (or (not (tptp.linord20386208strict X_a)) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.zero_zero X_a)) BOUND_VARIABLE_107866))) (not (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) BOUND_VARIABLE_107864) (tptp.zero_zero X_a)))) (tptp.hBOOL (tptp.hAPP X_a tptp.bool (tptp.hAPP X_a (tptp.fun X_a tptp.bool) (tptp.ord_less X_a) (tptp.hAPP X_a X_a (tptp.hAPP X_a (tptp.fun X_a X_a) (tptp.times_times X_a) BOUND_VARIABLE_107866) BOUND_VARIABLE_107864)) (tptp.zero_zero X_a)))))) :rule resolution :premises (t238 t245 a665))
% 22.04/22.28 (step t247 (cl (or (not (tptp.linord20386208strict tptp.int)) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) tptp.t) (tptp.zero_zero tptp.int)))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int))))) :rule resolution :premises (t237 t246))
% 22.04/22.28 (step t248 (cl (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (tptp.zero_zero tptp.int)))) :rule resolution :premises (t62 a272 t230 a5277 t247))
% 22.04/22.28 (step t249 (cl (not (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) (not (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule equiv_pos2)
% 22.04/22.28 (step t250 (cl (= tptp.int tptp.int)) :rule refl)
% 22.04/22.28 (step t251 (cl (= tptp.bool tptp.bool)) :rule refl)
% 22.04/22.28 (step t252 (cl (= (tptp.fun tptp.int tptp.bool) (tptp.fun tptp.int tptp.bool))) :rule refl)
% 22.04/22.28 (step t253 (cl (= (tptp.ord_less tptp.int) (tptp.ord_less tptp.int))) :rule refl)
% 22.04/22.28 (step t254 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.04/22.28 (step t255 (cl (= (tptp.plus_plus tptp.int) (tptp.plus_plus tptp.int))) :rule refl)
% 22.04/22.28 (step t256 (cl (= tptp.nat tptp.nat)) :rule refl)
% 22.04/22.28 (step t257 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s))) :rule refl)
% 22.04/22.28 (step t258 (cl (= (tptp.number_number_of tptp.nat) (tptp.number_number_of tptp.nat))) :rule refl)
% 22.04/22.28 (step t259 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.04/22.28 (step t260 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.04/22.28 (step t261 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t216))
% 22.04/22.28 (step t262 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t250 t250 t260 t261))
% 22.04/22.28 (step t263 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t250 t250 t259 t262))
% 22.04/22.28 (step t264 (cl (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t250 t256 t258 t263))
% 22.04/22.28 (step t265 (cl (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t256 t250 t257 t264))
% 22.04/22.28 (step t266 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t250 t254 t255 t265))
% 22.04/22.28 (step t267 (cl (= (tptp.one_one tptp.int) (tptp.one_one tptp.int))) :rule refl)
% 22.04/22.28 (step t268 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)))) :rule cong :premises (t250 t250 t266 t267))
% 22.04/22.28 (step t269 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))))) :rule cong :premises (t250 t252 t253 t268))
% 22.04/22.28 (step t270 (cl (= (tptp.zero_zero tptp.int) (tptp.zero_zero tptp.int))) :rule refl)
% 22.04/22.28 (step t271 (cl (= (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)) (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) :rule cong :premises (t250 t251 t269 t270))
% 22.04/22.28 (step t272 (cl (= (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))) (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule cong :premises (t271))
% 22.04/22.28 (step t273 (cl (= (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))) (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int)))))) :rule cong :premises (t272))
% 22.04/22.28 (step t274 (cl (not (tptp.hBOOL (tptp.hAPP tptp.int tptp.bool (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.bool) (tptp.ord_less tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (tptp.zero_zero tptp.int))))) :rule resolution :premises (t249 t273 a5737))
% 22.04/22.28 (step t275 (cl (not (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))) (not (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule equiv_pos2)
% 22.04/22.28 (step t276 (cl (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))))) :rule all_simplify)
% 22.04/22.28 (step t277 (cl (= tptp.int tptp.int)) :rule refl)
% 22.04/22.28 (step t278 (cl (= (tptp.fun tptp.int tptp.int) (tptp.fun tptp.int tptp.int))) :rule refl)
% 22.04/22.28 (step t279 (cl (= (tptp.times_times tptp.int) (tptp.times_times tptp.int))) :rule refl)
% 22.04/22.28 (step t280 (cl (= (tptp.plus_plus tptp.int) (tptp.plus_plus tptp.int))) :rule refl)
% 22.04/22.28 (step t281 (cl (= (tptp.number_number_of tptp.int) (tptp.number_number_of tptp.int))) :rule refl)
% 22.04/22.28 (step t282 (cl (= tptp.bit0 tptp.bit0)) :rule refl)
% 22.04/22.28 (step t283 (cl (= tptp.bit1 tptp.bit1)) :rule refl)
% 22.04/22.28 (step t284 (cl (= tptp.pls (tptp.zero_zero tptp.int))) :rule and :premises (t216))
% 22.04/22.28 (step t285 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls) (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))) :rule cong :premises (t277 t277 t283 t284))
% 22.04/22.28 (step t286 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))) :rule cong :premises (t277 t277 t282 t285))
% 22.04/22.28 (step t287 (cl (= (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t277 t277 t282 t286))
% 22.04/22.28 (step t288 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t277 t277 t281 t287))
% 22.04/22.28 (step t289 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t277 t278 t279 t288))
% 22.04/22.28 (step t290 (cl (= tptp.m tptp.m)) :rule refl)
% 22.04/22.28 (step t291 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m))) :rule cong :premises (t277 t277 t289 t290))
% 22.04/22.28 (step t292 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)))) :rule cong :premises (t277 t278 t280 t291))
% 22.04/22.28 (step t293 (cl (= (tptp.one_one tptp.int) (tptp.one_one tptp.int))) :rule refl)
% 22.04/22.28 (step t294 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int)))) :rule cong :premises (t277 t277 t292 t293))
% 22.04/22.28 (step t295 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))))) :rule cong :premises (t277 t278 t279 t294))
% 22.04/22.28 (step t296 (cl (= tptp.t tptp.t)) :rule refl)
% 22.04/22.28 (step t297 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule cong :premises (t277 t277 t295 t296))
% 22.04/22.28 (step t298 (cl (= tptp.nat tptp.nat)) :rule refl)
% 22.04/22.28 (step t299 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s))) :rule refl)
% 22.04/22.28 (step t300 (cl (= (tptp.number_number_of tptp.nat) (tptp.number_number_of tptp.nat))) :rule refl)
% 22.04/22.28 (step t301 (cl (= (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) :rule cong :premises (t277 t298 t300 t286))
% 22.04/22.28 (step t302 (cl (= (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls)))) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int))))))) :rule cong :premises (t298 t277 t299 t301))
% 22.04/22.28 (step t303 (cl (= (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))))) :rule cong :premises (t277 t278 t280 t302))
% 22.04/22.28 (step t304 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)))) :rule cong :premises (t277 t277 t303 t293))
% 22.04/22.28 (step t305 (cl (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))))) :rule cong :premises (t297 t304))
% 22.04/22.28 (step t306 (cl (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))) :rule all_simplify)
% 22.04/22.28 (step t307 (cl (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int))) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))) :rule trans :premises (t305 t306))
% 22.04/22.30 (step t308 (cl (= (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 tptp.pls))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)) (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t)))) :rule trans :premises (t276 t307))
% 22.04/22.30 (step t309 (cl (= (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.nat tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.nat tptp.int) (tptp.power_power tptp.int) tptp.s) (tptp.hAPP tptp.int tptp.nat (tptp.number_number_of tptp.nat) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) (tptp.one_one tptp.int)) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.plus_plus tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.hAPP tptp.int (tptp.fun tptp.int tptp.int) (tptp.times_times tptp.int) (tptp.hAPP tptp.int tptp.int (tptp.number_number_of tptp.int) (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit0 (tptp.hAPP tptp.int tptp.int tptp.bit1 (tptp.zero_zero tptp.int)))))) tptp.m)) (tptp.one_one tptp.int))) tptp.t))) :rule resolution :premises (t275 t308 a275))
% 22.04/22.30 (step t310 (cl) :rule resolution :premises (t60 t248 t274 t309))
% 22.04/22.30
% 22.04/22.30 % SZS output end Proof for /export/starexec/sandbox2/tmp/tmp.jKixcfQryK/cvc5---1.0.5_19714.smt2
% 22.04/22.31 % cvc5---1.0.5 exiting
% 22.04/22.31 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------